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Finding the Fourth Proportional to 925.12, 1,277.14 and 714.83

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Solution

The fourth proportional to 925.12, 1,277.14 and 714.83 is: 986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.12 : 1,277.14 = 714.83 : x
  2. Step 2: Convert to fraction form
    925.12/1,277.14 = 714.83/x
  3. Step 3: Cross multiply
    925.12x = 1,277.14 × 714.83
  4. Step 4: Simplify right side
    925.12x = 912,937.99
  5. Step 5: Solve for x
    x = 912,937.99/925.12
  6. Step 6: Final answer
    x = 986.83

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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.