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Finding the Fourth Proportional to 709.40, 1,058.96 and 655.94

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Solution

The fourth proportional to 709.40, 1,058.96 and 655.94 is: 979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 1,058.96 = 655.94 : x
  2. Step 2: Convert to fraction form
    709.40/1,058.96 = 655.94/x
  3. Step 3: Cross multiply
    709.40x = 1,058.96 × 655.94
  4. Step 4: Simplify right side
    709.40x = 694,614.22
  5. Step 5: Solve for x
    x = 694,614.22/709.40
  6. Step 6: Final answer
    x = 979.16

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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.