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Finding the Fourth Proportional to 983.75, 1,472.09 and 592.36

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Solution

The fourth proportional to 983.75, 1,472.09 and 592.36 is: 886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.75 : 1,472.09 = 592.36 : x
  2. Step 2: Convert to fraction form
    983.75/1,472.09 = 592.36/x
  3. Step 3: Cross multiply
    983.75x = 1,472.09 × 592.36
  4. Step 4: Simplify right side
    983.75x = 872,000.59
  5. Step 5: Solve for x
    x = 872,000.59/983.75
  6. Step 6: Final answer
    x = 886.41

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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.