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Finding the Fourth Proportional to 431.24, 642.51 and 410.60

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Solution

The fourth proportional to 431.24, 642.51 and 410.60 is: 611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.24 : 642.51 = 410.60 : x
  2. Step 2: Convert to fraction form
    431.24/642.51 = 410.60/x
  3. Step 3: Cross multiply
    431.24x = 642.51 × 410.60
  4. Step 4: Simplify right side
    431.24x = 263,812.55
  5. Step 5: Solve for x
    x = 263,812.55/431.24
  6. Step 6: Final answer
    x = 611.75

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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.