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Finding the Fourth Proportional to 733.75, 1,013.07 and 468.34

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Solution

The fourth proportional to 733.75, 1,013.07 and 468.34 is: 646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.75 : 1,013.07 = 468.34 : x
  2. Step 2: Convert to fraction form
    733.75/1,013.07 = 468.34/x
  3. Step 3: Cross multiply
    733.75x = 1,013.07 × 468.34
  4. Step 4: Simplify right side
    733.75x = 474,461.20
  5. Step 5: Solve for x
    x = 474,461.20/733.75
  6. Step 6: Final answer
    x = 646.63

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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.