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Finding the Fourth Proportional to 692.18, 1,031.67 and 653.26

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Solution

The fourth proportional to 692.18, 1,031.67 and 653.26 is: 973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.18 : 1,031.67 = 653.26 : x
  2. Step 2: Convert to fraction form
    692.18/1,031.67 = 653.26/x
  3. Step 3: Cross multiply
    692.18x = 1,031.67 × 653.26
  4. Step 4: Simplify right side
    692.18x = 673,948.74
  5. Step 5: Solve for x
    x = 673,948.74/692.18
  6. Step 6: Final answer
    x = 973.66

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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.