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Finding the Fourth Proportional to 1,123.76, 1,550.80 and 658.28

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Solution

The fourth proportional to 1,123.76, 1,550.80 and 658.28 is: 908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.76 : 1,550.80 = 658.28 : x
  2. Step 2: Convert to fraction form
    1,123.76/1,550.80 = 658.28/x
  3. Step 3: Cross multiply
    1,123.76x = 1,550.80 × 658.28
  4. Step 4: Simplify right side
    1,123.76x = 1,020,860.62
  5. Step 5: Solve for x
    x = 1,020,860.62/1,123.76
  6. Step 6: Final answer
    x = 908.43

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1.5x scale

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.