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Finding the Fourth Proportional to 1,117.64, 1,542.08 and 697.84

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Solution

The fourth proportional to 1,117.64, 1,542.08 and 697.84 is: 962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.64 : 1,542.08 = 697.84 : x
  2. Step 2: Convert to fraction form
    1,117.64/1,542.08 = 697.84/x
  3. Step 3: Cross multiply
    1,117.64x = 1,542.08 × 697.84
  4. Step 4: Simplify right side
    1,117.64x = 1,076,125.11
  5. Step 5: Solve for x
    x = 1,076,125.11/1,117.64
  6. Step 6: Final answer
    x = 962.85

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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.