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Finding the Fourth Proportional to 734.91, 1,013.76 and 468.87

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Solution

The fourth proportional to 734.91, 1,013.76 and 468.87 is: 646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.91 : 1,013.76 = 468.87 : x
  2. Step 2: Convert to fraction form
    734.91/1,013.76 = 468.87/x
  3. Step 3: Cross multiply
    734.91x = 1,013.76 × 468.87
  4. Step 4: Simplify right side
    734.91x = 475,321.65
  5. Step 5: Solve for x
    x = 475,321.65/734.91
  6. Step 6: Final answer
    x = 646.78

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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.