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Finding the Fourth Proportional to 973.42, 1,460.26 and 324.20

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Solution

The fourth proportional to 973.42, 1,460.26 and 324.20 is: 486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.42 : 1,460.26 = 324.20 : x
  2. Step 2: Convert to fraction form
    973.42/1,460.26 = 324.20/x
  3. Step 3: Cross multiply
    973.42x = 1,460.26 × 324.20
  4. Step 4: Simplify right side
    973.42x = 473,416.29
  5. Step 5: Solve for x
    x = 473,416.29/973.42
  6. Step 6: Final answer
    x = 486.34

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Half scale
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Double scale
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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.