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Finding the Fourth Proportional to 539.70, 745.68 and 424.14

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Solution

The fourth proportional to 539.70, 745.68 and 424.14 is: 586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.70 : 745.68 = 424.14 : x
  2. Step 2: Convert to fraction form
    539.70/745.68 = 424.14/x
  3. Step 3: Cross multiply
    539.70x = 745.68 × 424.14
  4. Step 4: Simplify right side
    539.70x = 316,272.72
  5. Step 5: Solve for x
    x = 316,272.72/539.70
  6. Step 6: Final answer
    x = 586.02

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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.