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Finding the Fourth Proportional to 613.68, 847.24 and 448.76

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Solution

The fourth proportional to 613.68, 847.24 and 448.76 is: 619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.68 : 847.24 = 448.76 : x
  2. Step 2: Convert to fraction form
    613.68/847.24 = 448.76/x
  3. Step 3: Cross multiply
    613.68x = 847.24 × 448.76
  4. Step 4: Simplify right side
    613.68x = 380,207.42
  5. Step 5: Solve for x
    x = 380,207.42/613.68
  6. Step 6: Final answer
    x = 619.55

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1.5x scale

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.