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Finding the Fourth Proportional to 755.79, 1,042.90 and 424.14

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Solution

The fourth proportional to 755.79, 1,042.90 and 424.14 is: 585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.79 : 1,042.90 = 424.14 : x
  2. Step 2: Convert to fraction form
    755.79/1,042.90 = 424.14/x
  3. Step 3: Cross multiply
    755.79x = 1,042.90 × 424.14
  4. Step 4: Simplify right side
    755.79x = 442,335.61
  5. Step 5: Solve for x
    x = 442,335.61/755.79
  6. Step 6: Final answer
    x = 585.26

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1.5x scale

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.