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Finding the Fourth Proportional to 530.56, 732.15 and 297.68

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Solution

The fourth proportional to 530.56, 732.15 and 297.68 is: 410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.56 : 732.15 = 297.68 : x
  2. Step 2: Convert to fraction form
    530.56/732.15 = 297.68/x
  3. Step 3: Cross multiply
    530.56x = 732.15 × 297.68
  4. Step 4: Simplify right side
    530.56x = 217,948.24
  5. Step 5: Solve for x
    x = 217,948.24/530.56
  6. Step 6: Final answer
    x = 410.79

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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.