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Finding the Fourth Proportional to 925.59, 1,277.32 and 505.95

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Solution

The fourth proportional to 925.59, 1,277.32 and 505.95 is: 698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.59 : 1,277.32 = 505.95 : x
  2. Step 2: Convert to fraction form
    925.59/1,277.32 = 505.95/x
  3. Step 3: Cross multiply
    925.59x = 1,277.32 × 505.95
  4. Step 4: Simplify right side
    925.59x = 646,254.95
  5. Step 5: Solve for x
    x = 646,254.95/925.59
  6. Step 6: Final answer
    x = 698.21

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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.