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Finding the Fourth Proportional to 1,006.20, 1,390.05 and 674.49

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Solution

The fourth proportional to 1,006.20, 1,390.05 and 674.49 is: 931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.20 : 1,390.05 = 674.49 : x
  2. Step 2: Convert to fraction form
    1,006.20/1,390.05 = 674.49/x
  3. Step 3: Cross multiply
    1,006.20x = 1,390.05 × 674.49
  4. Step 4: Simplify right side
    1,006.20x = 937,574.82
  5. Step 5: Solve for x
    x = 937,574.82/1,006.20
  6. Step 6: Final answer
    x = 931.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.