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Finding the Fourth Proportional to 530.97, 732.99 and 407.16

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Solution

The fourth proportional to 530.97, 732.99 and 407.16 is: 562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.97 : 732.99 = 407.16 : x
  2. Step 2: Convert to fraction form
    530.97/732.99 = 407.16/x
  3. Step 3: Cross multiply
    530.97x = 732.99 × 407.16
  4. Step 4: Simplify right side
    530.97x = 298,444.21
  5. Step 5: Solve for x
    x = 298,444.21/530.97
  6. Step 6: Final answer
    x = 562.07

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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.