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Finding the Fourth Proportional to 973.53, 1,460.39 and 324.31

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Solution

The fourth proportional to 973.53, 1,460.39 and 324.31 is: 486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.53 : 1,460.39 = 324.31 : x
  2. Step 2: Convert to fraction form
    973.53/1,460.39 = 324.31/x
  3. Step 3: Cross multiply
    973.53x = 1,460.39 × 324.31
  4. Step 4: Simplify right side
    973.53x = 473,619.08
  5. Step 5: Solve for x
    x = 473,619.08/973.53
  6. Step 6: Final answer
    x = 486.50

Related Problems

Find fourth proportional to 486.77, 730.20 and 162.16
Half scale
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Double scale
Find fourth proportional to 974.53, 1,461.89 and 325.31
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.