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Finding the Fourth Proportional to 1,125.11, 1,686.51 and 431.62

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Solution

The fourth proportional to 1,125.11, 1,686.51 and 431.62 is: 646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.11 : 1,686.51 = 431.62 : x
  2. Step 2: Convert to fraction form
    1,125.11/1,686.51 = 431.62/x
  3. Step 3: Cross multiply
    1,125.11x = 1,686.51 × 431.62
  4. Step 4: Simplify right side
    1,125.11x = 727,931.45
  5. Step 5: Solve for x
    x = 727,931.45/1,125.11
  6. Step 6: Final answer
    x = 646.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.