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Finding the Fourth Proportional to 692.63, 1,031.65 and 678.21

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Solution

The fourth proportional to 692.63, 1,031.65 and 678.21 is: 1,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.63 : 1,031.65 = 678.21 : x
  2. Step 2: Convert to fraction form
    692.63/1,031.65 = 678.21/x
  3. Step 3: Cross multiply
    692.63x = 1,031.65 × 678.21
  4. Step 4: Simplify right side
    692.63x = 699,681.76
  5. Step 5: Solve for x
    x = 699,681.76/692.63
  6. Step 6: Final answer
    x = 1,010.18

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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.