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Finding the Fourth Proportional to 710.11, 1,058.68 and 692.12

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Solution

The fourth proportional to 710.11, 1,058.68 and 692.12 is: 1,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.11 : 1,058.68 = 692.12 : x
  2. Step 2: Convert to fraction form
    710.11/1,058.68 = 692.12/x
  3. Step 3: Cross multiply
    710.11x = 1,058.68 × 692.12
  4. Step 4: Simplify right side
    710.11x = 732,737.11
  5. Step 5: Solve for x
    x = 732,737.11/710.11
  6. Step 6: Final answer
    x = 1,031.86

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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.