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Finding the Fourth Proportional to 423.60, 632.54 and 346.72

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Solution

The fourth proportional to 423.60, 632.54 and 346.72 is: 517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.60 : 632.54 = 346.72 : x
  2. Step 2: Convert to fraction form
    423.60/632.54 = 346.72/x
  3. Step 3: Cross multiply
    423.60x = 632.54 × 346.72
  4. Step 4: Simplify right side
    423.60x = 219,314.27
  5. Step 5: Solve for x
    x = 219,314.27/423.60
  6. Step 6: Final answer
    x = 517.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.