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Finding the Fourth Proportional to 758.66, 1,130.43 and 727.34

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Solution

The fourth proportional to 758.66, 1,130.43 and 727.34 is: 1,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,130.43 = 727.34 : x
  2. Step 2: Convert to fraction form
    758.66/1,130.43 = 727.34/x
  3. Step 3: Cross multiply
    758.66x = 1,130.43 × 727.34
  4. Step 4: Simplify right side
    758.66x = 822,203.32
  5. Step 5: Solve for x
    x = 822,203.32/758.66
  6. Step 6: Final answer
    x = 1,083.76

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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.