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Finding the Fourth Proportional to 973.83, 1,460.57 and 324.75

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Solution

The fourth proportional to 973.83, 1,460.57 and 324.75 is: 487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.83 : 1,460.57 = 324.75 : x
  2. Step 2: Convert to fraction form
    973.83/1,460.57 = 324.75/x
  3. Step 3: Cross multiply
    973.83x = 1,460.57 × 324.75
  4. Step 4: Simplify right side
    973.83x = 474,318.48
  5. Step 5: Solve for x
    x = 474,318.48/973.83
  6. Step 6: Final answer
    x = 487.06

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Half scale
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Double scale
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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.