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Finding the Fourth Proportional to 543.32, 750.12 and 418.74

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Solution

The fourth proportional to 543.32, 750.12 and 418.74 is: 578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.32 : 750.12 = 418.74 : x
  2. Step 2: Convert to fraction form
    543.32/750.12 = 418.74/x
  3. Step 3: Cross multiply
    543.32x = 750.12 × 418.74
  4. Step 4: Simplify right side
    543.32x = 314,105.25
  5. Step 5: Solve for x
    x = 314,105.25/543.32
  6. Step 6: Final answer
    x = 578.12

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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.