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Finding the Fourth Proportional to 530.98, 732.96 and 475.62

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Solution

The fourth proportional to 530.98, 732.96 and 475.62 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.98 : 732.96 = 475.62 : x
  2. Step 2: Convert to fraction form
    530.98/732.96 = 475.62/x
  3. Step 3: Cross multiply
    530.98x = 732.96 × 475.62
  4. Step 4: Simplify right side
    530.98x = 348,610.44
  5. Step 5: Solve for x
    x = 348,610.44/530.98
  6. Step 6: Final answer
    x = 656.54

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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.