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Finding the Fourth Proportional to 846.28, 1,167.87 and 514.65

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Solution

The fourth proportional to 846.28, 1,167.87 and 514.65 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.28 : 1,167.87 = 514.65 : x
  2. Step 2: Convert to fraction form
    846.28/1,167.87 = 514.65/x
  3. Step 3: Cross multiply
    846.28x = 1,167.87 × 514.65
  4. Step 4: Simplify right side
    846.28x = 601,037.86
  5. Step 5: Solve for x
    x = 601,037.86/846.28
  6. Step 6: Final answer
    x = 710.21

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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.