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Finding the Fourth Proportional to 425.42, 586.79 and 411.13

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Solution

The fourth proportional to 425.42, 586.79 and 411.13 is: 567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.42 : 586.79 = 411.13 : x
  2. Step 2: Convert to fraction form
    425.42/586.79 = 411.13/x
  3. Step 3: Cross multiply
    425.42x = 586.79 × 411.13
  4. Step 4: Simplify right side
    425.42x = 241,247.69
  5. Step 5: Solve for x
    x = 241,247.69/425.42
  6. Step 6: Final answer
    x = 567.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.