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Finding the Fourth Proportional to 1,117.76, 1,542.02 and 786.40

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Solution

The fourth proportional to 1,117.76, 1,542.02 and 786.40 is: 1,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.76 : 1,542.02 = 786.40 : x
  2. Step 2: Convert to fraction form
    1,117.76/1,542.02 = 786.40/x
  3. Step 3: Cross multiply
    1,117.76x = 1,542.02 × 786.40
  4. Step 4: Simplify right side
    1,117.76x = 1,212,644.53
  5. Step 5: Solve for x
    x = 1,212,644.53/1,117.76
  6. Step 6: Final answer
    x = 1,084.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.