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Finding the Fourth Proportional to 977.46, 1,463.43 and 781.46

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Solution

The fourth proportional to 977.46, 1,463.43 and 781.46 is: 1,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.46 : 1,463.43 = 781.46 : x
  2. Step 2: Convert to fraction form
    977.46/1,463.43 = 781.46/x
  3. Step 3: Cross multiply
    977.46x = 1,463.43 × 781.46
  4. Step 4: Simplify right side
    977.46x = 1,143,612.01
  5. Step 5: Solve for x
    x = 1,143,612.01/977.46
  6. Step 6: Final answer
    x = 1,169.98

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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.