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Finding the Fourth Proportional to 626.16, 862.47 and 448.86

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Solution

The fourth proportional to 626.16, 862.47 and 448.86 is: 618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.16 : 862.47 = 448.86 : x
  2. Step 2: Convert to fraction form
    626.16/862.47 = 448.86/x
  3. Step 3: Cross multiply
    626.16x = 862.47 × 448.86
  4. Step 4: Simplify right side
    626.16x = 387,128.28
  5. Step 5: Solve for x
    x = 387,128.28/626.16
  6. Step 6: Final answer
    x = 618.26

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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.