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Finding the Fourth Proportional to 1,012.76, 1,398.20 and 803.76

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Solution

The fourth proportional to 1,012.76, 1,398.20 and 803.76 is: 1,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.76 : 1,398.20 = 803.76 : x
  2. Step 2: Convert to fraction form
    1,012.76/1,398.20 = 803.76/x
  3. Step 3: Cross multiply
    1,012.76x = 1,398.20 × 803.76
  4. Step 4: Simplify right side
    1,012.76x = 1,123,817.23
  5. Step 5: Solve for x
    x = 1,123,817.23/1,012.76
  6. Step 6: Final answer
    x = 1,109.66

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1.5x scale

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.