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Finding the Fourth Proportional to 1,043.28, 1,439.54 and 707.31

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Solution

The fourth proportional to 1,043.28, 1,439.54 and 707.31 is: 975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.28 : 1,439.54 = 707.31 : x
  2. Step 2: Convert to fraction form
    1,043.28/1,439.54 = 707.31/x
  3. Step 3: Cross multiply
    1,043.28x = 1,439.54 × 707.31
  4. Step 4: Simplify right side
    1,043.28x = 1,018,197.50
  5. Step 5: Solve for x
    x = 1,018,197.50/1,043.28
  6. Step 6: Final answer
    x = 975.96

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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.