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Finding the Fourth Proportional to 920.86, 1,269.45 and 658.42

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Solution

The fourth proportional to 920.86, 1,269.45 and 658.42 is: 907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.86 : 1,269.45 = 658.42 : x
  2. Step 2: Convert to fraction form
    920.86/1,269.45 = 658.42/x
  3. Step 3: Cross multiply
    920.86x = 1,269.45 × 658.42
  4. Step 4: Simplify right side
    920.86x = 835,828.10
  5. Step 5: Solve for x
    x = 835,828.10/920.86
  6. Step 6: Final answer
    x = 907.66

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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.