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Finding the Fourth Proportional to 1,052.59, 1,451.94 and 658.93

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Solution

The fourth proportional to 1,052.59, 1,451.94 and 658.93 is: 908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.59 : 1,451.94 = 658.93 : x
  2. Step 2: Convert to fraction form
    1,052.59/1,451.94 = 658.93/x
  3. Step 3: Cross multiply
    1,052.59x = 1,451.94 × 658.93
  4. Step 4: Simplify right side
    1,052.59x = 956,719.56
  5. Step 5: Solve for x
    x = 956,719.56/1,052.59
  6. Step 6: Final answer
    x = 908.92

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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.