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Finding the Fourth Proportional to 732.78, 1,093.95 and 707.15

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Solution

The fourth proportional to 732.78, 1,093.95 and 707.15 is: 1,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.78 : 1,093.95 = 707.15 : x
  2. Step 2: Convert to fraction form
    732.78/1,093.95 = 707.15/x
  3. Step 3: Cross multiply
    732.78x = 1,093.95 × 707.15
  4. Step 4: Simplify right side
    732.78x = 773,586.74
  5. Step 5: Solve for x
    x = 773,586.74/732.78
  6. Step 6: Final answer
    x = 1,055.69

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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.