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Finding the Fourth Proportional to 1,042.50, 1,564.46 and 393.27

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Solution

The fourth proportional to 1,042.50, 1,564.46 and 393.27 is: 590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.50 : 1,564.46 = 393.27 : x
  2. Step 2: Convert to fraction form
    1,042.50/1,564.46 = 393.27/x
  3. Step 3: Cross multiply
    1,042.50x = 1,564.46 × 393.27
  4. Step 4: Simplify right side
    1,042.50x = 615,253.22
  5. Step 5: Solve for x
    x = 615,253.22/1,042.50
  6. Step 6: Final answer
    x = 590.17

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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.