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Finding the Fourth Proportional to 692.88, 1,031.16 and 666.96

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Solution

The fourth proportional to 692.88, 1,031.16 and 666.96 is: 992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.88 : 1,031.16 = 666.96 : x
  2. Step 2: Convert to fraction form
    692.88/1,031.16 = 666.96/x
  3. Step 3: Cross multiply
    692.88x = 1,031.16 × 666.96
  4. Step 4: Simplify right side
    692.88x = 687,742.47
  5. Step 5: Solve for x
    x = 687,742.47/692.88
  6. Step 6: Final answer
    x = 992.59

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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.