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Finding the Fourth Proportional to 1,016.65, 1,402.88 and 591.22

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Solution

The fourth proportional to 1,016.65, 1,402.88 and 591.22 is: 815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.65 : 1,402.88 = 591.22 : x
  2. Step 2: Convert to fraction form
    1,016.65/1,402.88 = 591.22/x
  3. Step 3: Cross multiply
    1,016.65x = 1,402.88 × 591.22
  4. Step 4: Simplify right side
    1,016.65x = 829,410.71
  5. Step 5: Solve for x
    x = 829,410.71/1,016.65
  6. Step 6: Final answer
    x = 815.83

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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.