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Finding the Fourth Proportional to 1,123.68, 1,550.52 and 657.84

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Solution

The fourth proportional to 1,123.68, 1,550.52 and 657.84 is: 907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.68 : 1,550.52 = 657.84 : x
  2. Step 2: Convert to fraction form
    1,123.68/1,550.52 = 657.84/x
  3. Step 3: Cross multiply
    1,123.68x = 1,550.52 × 657.84
  4. Step 4: Simplify right side
    1,123.68x = 1,019,994.08
  5. Step 5: Solve for x
    x = 1,019,994.08/1,123.68
  6. Step 6: Final answer
    x = 907.73

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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.