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Finding the Fourth Proportional to 706.47, 974.52 and 540.15

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Solution

The fourth proportional to 706.47, 974.52 and 540.15 is: 745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.47 : 974.52 = 540.15 : x
  2. Step 2: Convert to fraction form
    706.47/974.52 = 540.15/x
  3. Step 3: Cross multiply
    706.47x = 974.52 × 540.15
  4. Step 4: Simplify right side
    706.47x = 526,386.98
  5. Step 5: Solve for x
    x = 526,386.98/706.47
  6. Step 6: Final answer
    x = 745.09

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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.