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Finding the Fourth Proportional to 762.46, 1,137.65 and 709.46

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Solution

The fourth proportional to 762.46, 1,137.65 and 709.46 is: 1,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.46 : 1,137.65 = 709.46 : x
  2. Step 2: Convert to fraction form
    762.46/1,137.65 = 709.46/x
  3. Step 3: Cross multiply
    762.46x = 1,137.65 × 709.46
  4. Step 4: Simplify right side
    762.46x = 807,112.20
  5. Step 5: Solve for x
    x = 807,112.20/762.46
  6. Step 6: Final answer
    x = 1,058.56

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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.