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Finding the Fourth Proportional to 1,042.69, 1,564.46 and 393.61

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Solution

The fourth proportional to 1,042.69, 1,564.46 and 393.61 is: 590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.69 : 1,564.46 = 393.61 : x
  2. Step 2: Convert to fraction form
    1,042.69/1,564.46 = 393.61/x
  3. Step 3: Cross multiply
    1,042.69x = 1,564.46 × 393.61
  4. Step 4: Simplify right side
    1,042.69x = 615,787.10
  5. Step 5: Solve for x
    x = 615,787.10/1,042.69
  6. Step 6: Final answer
    x = 590.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.