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Finding the Fourth Proportional to 763.19, 1,050.54 and 658.61

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Solution

The fourth proportional to 763.19, 1,050.54 and 658.61 is: 906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.19 : 1,050.54 = 658.61 : x
  2. Step 2: Convert to fraction form
    763.19/1,050.54 = 658.61/x
  3. Step 3: Cross multiply
    763.19x = 1,050.54 × 658.61
  4. Step 4: Simplify right side
    763.19x = 691,896.15
  5. Step 5: Solve for x
    x = 691,896.15/763.19
  6. Step 6: Final answer
    x = 906.58

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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.