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Finding the Fourth Proportional to 423.54, 630.95 and 414.90

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Solution

The fourth proportional to 423.54, 630.95 and 414.90 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.54 : 630.95 = 414.90 : x
  2. Step 2: Convert to fraction form
    423.54/630.95 = 414.90/x
  3. Step 3: Cross multiply
    423.54x = 630.95 × 414.90
  4. Step 4: Simplify right side
    423.54x = 261,779.08
  5. Step 5: Solve for x
    x = 261,779.08/423.54
  6. Step 6: Final answer
    x = 618.07

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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.