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Finding the Fourth Proportional to 1,117.75, 1,542.68 and 651.91

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Solution

The fourth proportional to 1,117.75, 1,542.68 and 651.91 is: 899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.75 : 1,542.68 = 651.91 : x
  2. Step 2: Convert to fraction form
    1,117.75/1,542.68 = 651.91/x
  3. Step 3: Cross multiply
    1,117.75x = 1,542.68 × 651.91
  4. Step 4: Simplify right side
    1,117.75x = 1,005,688.52
  5. Step 5: Solve for x
    x = 1,005,688.52/1,117.75
  6. Step 6: Final answer
    x = 899.74

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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.