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Finding the Fourth Proportional to 543.07, 749.55 and 424.81

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Solution

The fourth proportional to 543.07, 749.55 and 424.81 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.07 : 749.55 = 424.81 : x
  2. Step 2: Convert to fraction form
    543.07/749.55 = 424.81/x
  3. Step 3: Cross multiply
    543.07x = 749.55 × 424.81
  4. Step 4: Simplify right side
    543.07x = 318,414.21
  5. Step 5: Solve for x
    x = 318,414.21/543.07
  6. Step 6: Final answer
    x = 586.32

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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.