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Finding the Fourth Proportional to 864.71, 1,290.68 and 803.76

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Solution

The fourth proportional to 864.71, 1,290.68 and 803.76 is: 1,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.71 : 1,290.68 = 803.76 : x
  2. Step 2: Convert to fraction form
    864.71/1,290.68 = 803.76/x
  3. Step 3: Cross multiply
    864.71x = 1,290.68 × 803.76
  4. Step 4: Simplify right side
    864.71x = 1,037,396.96
  5. Step 5: Solve for x
    x = 1,037,396.96/864.71
  6. Step 6: Final answer
    x = 1,199.71

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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.