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Finding the Fourth Proportional to 699, 1,044.36 and 674.76

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Solution

The fourth proportional to 699, 1,044.36 and 674.76 is: 1,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 1,044.36 = 674.76 : x
  2. Step 2: Convert to fraction form
    699/1,044.36 = 674.76/x
  3. Step 3: Cross multiply
    699x = 1,044.36 × 674.76
  4. Step 4: Simplify right side
    699x = 704,692.35
  5. Step 5: Solve for x
    x = 704,692.35/699
  6. Step 6: Final answer
    x = 1,008.14

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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.