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Finding the Fourth Proportional to 846.90, 1,168.65 and 473.85

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Solution

The fourth proportional to 846.90, 1,168.65 and 473.85 is: 653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.90 : 1,168.65 = 473.85 : x
  2. Step 2: Convert to fraction form
    846.90/1,168.65 = 473.85/x
  3. Step 3: Cross multiply
    846.90x = 1,168.65 × 473.85
  4. Step 4: Simplify right side
    846.90x = 553,764.80
  5. Step 5: Solve for x
    x = 553,764.80/846.90
  6. Step 6: Final answer
    x = 653.87

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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.