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Finding the Fourth Proportional to 425.53, 642.12 and 410.27

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Solution

The fourth proportional to 425.53, 642.12 and 410.27 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.53 : 642.12 = 410.27 : x
  2. Step 2: Convert to fraction form
    425.53/642.12 = 410.27/x
  3. Step 3: Cross multiply
    425.53x = 642.12 × 410.27
  4. Step 4: Simplify right side
    425.53x = 263,444.18
  5. Step 5: Solve for x
    x = 263,444.18/425.53
  6. Step 6: Final answer
    x = 619.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.