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Finding the Fourth Proportional to 756.80, 1,134.14 and 592.46

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Solution

The fourth proportional to 756.80, 1,134.14 and 592.46 is: 887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.80 : 1,134.14 = 592.46 : x
  2. Step 2: Convert to fraction form
    756.80/1,134.14 = 592.46/x
  3. Step 3: Cross multiply
    756.80x = 1,134.14 × 592.46
  4. Step 4: Simplify right side
    756.80x = 671,932.58
  5. Step 5: Solve for x
    x = 671,932.58/756.80
  6. Step 6: Final answer
    x = 887.86

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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.