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Finding the Fourth Proportional to 474.78, 652.55 and 419.18

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Solution

The fourth proportional to 474.78, 652.55 and 419.18 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.78 : 652.55 = 419.18 : x
  2. Step 2: Convert to fraction form
    474.78/652.55 = 419.18/x
  3. Step 3: Cross multiply
    474.78x = 652.55 × 419.18
  4. Step 4: Simplify right side
    474.78x = 273,538.59
  5. Step 5: Solve for x
    x = 273,538.59/474.78
  6. Step 6: Final answer
    x = 576.14

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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.