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Finding the Fourth Proportional to 840, 1,159.28 and 529.44

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Solution

The fourth proportional to 840, 1,159.28 and 529.44 is: 730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,159.28 = 529.44 : x
  2. Step 2: Convert to fraction form
    840/1,159.28 = 529.44/x
  3. Step 3: Cross multiply
    840x = 1,159.28 × 529.44
  4. Step 4: Simplify right side
    840x = 613,769.20
  5. Step 5: Solve for x
    x = 613,769.20/840
  6. Step 6: Final answer
    x = 730.68

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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.