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Finding the Fourth Proportional to 549.68, 757.50 and 402.35

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Solution

The fourth proportional to 549.68, 757.50 and 402.35 is: 554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.68 : 757.50 = 402.35 : x
  2. Step 2: Convert to fraction form
    549.68/757.50 = 402.35/x
  3. Step 3: Cross multiply
    549.68x = 757.50 × 402.35
  4. Step 4: Simplify right side
    549.68x = 304,776.34
  5. Step 5: Solve for x
    x = 304,776.34/549.68
  6. Step 6: Final answer
    x = 554.47

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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.