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Finding the Fourth Proportional to 983.15, 1,471.02 and 586.36

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Solution

The fourth proportional to 983.15, 1,471.02 and 586.36 is: 877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.15 : 1,471.02 = 586.36 : x
  2. Step 2: Convert to fraction form
    983.15/1,471.02 = 586.36/x
  3. Step 3: Cross multiply
    983.15x = 1,471.02 × 586.36
  4. Step 4: Simplify right side
    983.15x = 862,546.93
  5. Step 5: Solve for x
    x = 862,546.93/983.15
  6. Step 6: Final answer
    x = 877.33

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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.