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Finding the Fourth Proportional to 875.65, 1,311.51 and 616.81

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Solution

The fourth proportional to 875.65, 1,311.51 and 616.81 is: 923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.65 : 1,311.51 = 616.81 : x
  2. Step 2: Convert to fraction form
    875.65/1,311.51 = 616.81/x
  3. Step 3: Cross multiply
    875.65x = 1,311.51 × 616.81
  4. Step 4: Simplify right side
    875.65x = 808,952.48
  5. Step 5: Solve for x
    x = 808,952.48/875.65
  6. Step 6: Final answer
    x = 923.83

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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.