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Finding the Fourth Proportional to 983.65, 1,471.77 and 586.86

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Solution

The fourth proportional to 983.65, 1,471.77 and 586.86 is: 878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.65 : 1,471.77 = 586.86 : x
  2. Step 2: Convert to fraction form
    983.65/1,471.77 = 586.86/x
  3. Step 3: Cross multiply
    983.65x = 1,471.77 × 586.86
  4. Step 4: Simplify right side
    983.65x = 863,720.01
  5. Step 5: Solve for x
    x = 863,720.01/983.65
  6. Step 6: Final answer
    x = 878.08

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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.