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Finding the Fourth Proportional to 709.98, 1,058.49 and 692

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Solution

The fourth proportional to 709.98, 1,058.49 and 692 is: 1,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.98 : 1,058.49 = 692 : x
  2. Step 2: Convert to fraction form
    709.98/1,058.49 = 692/x
  3. Step 3: Cross multiply
    709.98x = 1,058.49 × 692
  4. Step 4: Simplify right side
    709.98x = 732,475.08
  5. Step 5: Solve for x
    x = 732,475.08/709.98
  6. Step 6: Final answer
    x = 1,031.68

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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.