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Finding the Fourth Proportional to 1,117.18, 1,675.97 and 376.91

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Solution

The fourth proportional to 1,117.18, 1,675.97 and 376.91 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.18 : 1,675.97 = 376.91 : x
  2. Step 2: Convert to fraction form
    1,117.18/1,675.97 = 376.91/x
  3. Step 3: Cross multiply
    1,117.18x = 1,675.97 × 376.91
  4. Step 4: Simplify right side
    1,117.18x = 631,689.85
  5. Step 5: Solve for x
    x = 631,689.85/1,117.18
  6. Step 6: Final answer
    x = 565.43

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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.