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Finding the Fourth Proportional to 983.71, 1,472.19 and 776.53

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Solution

The fourth proportional to 983.71, 1,472.19 and 776.53 is: 1,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.71 : 1,472.19 = 776.53 : x
  2. Step 2: Convert to fraction form
    983.71/1,472.19 = 776.53/x
  3. Step 3: Cross multiply
    983.71x = 1,472.19 × 776.53
  4. Step 4: Simplify right side
    983.71x = 1,143,199.70
  5. Step 5: Solve for x
    x = 1,143,199.70/983.71
  6. Step 6: Final answer
    x = 1,162.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.