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Finding the Fourth Proportional to 757.31, 1,128.34 and 707.63

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Solution

The fourth proportional to 757.31, 1,128.34 and 707.63 is: 1,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.31 : 1,128.34 = 707.63 : x
  2. Step 2: Convert to fraction form
    757.31/1,128.34 = 707.63/x
  3. Step 3: Cross multiply
    757.31x = 1,128.34 × 707.63
  4. Step 4: Simplify right side
    757.31x = 798,442.48
  5. Step 5: Solve for x
    x = 798,442.48/757.31
  6. Step 6: Final answer
    x = 1,054.32

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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.