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Finding the Fourth Proportional to 543.04, 748.32 and 356.32

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Solution

The fourth proportional to 543.04, 748.32 and 356.32 is: 491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.04 : 748.32 = 356.32 : x
  2. Step 2: Convert to fraction form
    543.04/748.32 = 356.32/x
  3. Step 3: Cross multiply
    543.04x = 748.32 × 356.32
  4. Step 4: Simplify right side
    543.04x = 266,641.38
  5. Step 5: Solve for x
    x = 266,641.38/543.04
  6. Step 6: Final answer
    x = 491.02

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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.