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Finding the Fourth Proportional to 530.24, 732.12 and 456.13

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Solution

The fourth proportional to 530.24, 732.12 and 456.13 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.24 : 732.12 = 456.13 : x
  2. Step 2: Convert to fraction form
    530.24/732.12 = 456.13/x
  3. Step 3: Cross multiply
    530.24x = 732.12 × 456.13
  4. Step 4: Simplify right side
    530.24x = 333,938.24
  5. Step 5: Solve for x
    x = 333,938.24/530.24
  6. Step 6: Final answer
    x = 629.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.