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Finding the Fourth Proportional to 732.08, 1,094.20 and 638.80

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Solution

The fourth proportional to 732.08, 1,094.20 and 638.80 is: 954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.08 : 1,094.20 = 638.80 : x
  2. Step 2: Convert to fraction form
    732.08/1,094.20 = 638.80/x
  3. Step 3: Cross multiply
    732.08x = 1,094.20 × 638.80
  4. Step 4: Simplify right side
    732.08x = 698,970.63
  5. Step 5: Solve for x
    x = 698,970.63/732.08
  6. Step 6: Final answer
    x = 954.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.