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Finding the Fourth Proportional to 921.70, 1,387.55 and 706.24

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Solution

The fourth proportional to 921.70, 1,387.55 and 706.24 is: 1,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.70 : 1,387.55 = 706.24 : x
  2. Step 2: Convert to fraction form
    921.70/1,387.55 = 706.24/x
  3. Step 3: Cross multiply
    921.70x = 1,387.55 × 706.24
  4. Step 4: Simplify right side
    921.70x = 979,943.31
  5. Step 5: Solve for x
    x = 979,943.31/921.70
  6. Step 6: Final answer
    x = 1,063.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.