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Finding the Fourth Proportional to 1,124.35, 1,686.74 and 661.88

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Solution

The fourth proportional to 1,124.35, 1,686.74 and 661.88 is: 992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.35 : 1,686.74 = 661.88 : x
  2. Step 2: Convert to fraction form
    1,124.35/1,686.74 = 661.88/x
  3. Step 3: Cross multiply
    1,124.35x = 1,686.74 × 661.88
  4. Step 4: Simplify right side
    1,124.35x = 1,116,419.47
  5. Step 5: Solve for x
    x = 1,116,419.47/1,124.35
  6. Step 6: Final answer
    x = 992.95

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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.