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Finding the Fourth Proportional to 448.87, 616.84 and 428.52

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Solution

The fourth proportional to 448.87, 616.84 and 428.52 is: 588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.87 : 616.84 = 428.52 : x
  2. Step 2: Convert to fraction form
    448.87/616.84 = 428.52/x
  3. Step 3: Cross multiply
    448.87x = 616.84 × 428.52
  4. Step 4: Simplify right side
    448.87x = 264,325.52
  5. Step 5: Solve for x
    x = 264,325.52/448.87
  6. Step 6: Final answer
    x = 588.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.