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Finding the Fourth Proportional to 977.59, 1,468.65 and 925.15

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Solution

The fourth proportional to 977.59, 1,468.65 and 925.15 is: 1,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.59 : 1,468.65 = 925.15 : x
  2. Step 2: Convert to fraction form
    977.59/1,468.65 = 925.15/x
  3. Step 3: Cross multiply
    977.59x = 1,468.65 × 925.15
  4. Step 4: Simplify right side
    977.59x = 1,358,721.55
  5. Step 5: Solve for x
    x = 1,358,721.55/977.59
  6. Step 6: Final answer
    x = 1,389.87

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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.