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Finding the Fourth Proportional to 1,002.54, 1,500.84 and 977.70

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Solution

The fourth proportional to 1,002.54, 1,500.84 and 977.70 is: 1,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.54 : 1,500.84 = 977.70 : x
  2. Step 2: Convert to fraction form
    1,002.54/1,500.84 = 977.70/x
  3. Step 3: Cross multiply
    1,002.54x = 1,500.84 × 977.70
  4. Step 4: Simplify right side
    1,002.54x = 1,467,371.27
  5. Step 5: Solve for x
    x = 1,467,371.27/1,002.54
  6. Step 6: Final answer
    x = 1,463.65

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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.