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Finding the Fourth Proportional to 530.99, 732.96 and 407.15

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Solution

The fourth proportional to 530.99, 732.96 and 407.15 is: 562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.99 : 732.96 = 407.15 : x
  2. Step 2: Convert to fraction form
    530.99/732.96 = 407.15/x
  3. Step 3: Cross multiply
    530.99x = 732.96 × 407.15
  4. Step 4: Simplify right side
    530.99x = 298,424.66
  5. Step 5: Solve for x
    x = 298,424.66/530.99
  6. Step 6: Final answer
    x = 562.02

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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.