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Finding the Fourth Proportional to 1,129.38, 1,686.63 and 963.06

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Solution

The fourth proportional to 1,129.38, 1,686.63 and 963.06 is: 1,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.38 : 1,686.63 = 963.06 : x
  2. Step 2: Convert to fraction form
    1,129.38/1,686.63 = 963.06/x
  3. Step 3: Cross multiply
    1,129.38x = 1,686.63 × 963.06
  4. Step 4: Simplify right side
    1,129.38x = 1,624,325.89
  5. Step 5: Solve for x
    x = 1,624,325.89/1,129.38
  6. Step 6: Final answer
    x = 1,438.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.