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Finding the Fourth Proportional to 1,155.86, 1,595.13 and 658.49

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Solution

The fourth proportional to 1,155.86, 1,595.13 and 658.49 is: 908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.86 : 1,595.13 = 658.49 : x
  2. Step 2: Convert to fraction form
    1,155.86/1,595.13 = 658.49/x
  3. Step 3: Cross multiply
    1,155.86x = 1,595.13 × 658.49
  4. Step 4: Simplify right side
    1,155.86x = 1,050,381.14
  5. Step 5: Solve for x
    x = 1,050,381.14/1,155.86
  6. Step 6: Final answer
    x = 908.74

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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.