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Finding the Fourth Proportional to 425.39, 586.91 and 259.56

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Solution

The fourth proportional to 425.39, 586.91 and 259.56 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.39 : 586.91 = 259.56 : x
  2. Step 2: Convert to fraction form
    425.39/586.91 = 259.56/x
  3. Step 3: Cross multiply
    425.39x = 586.91 × 259.56
  4. Step 4: Simplify right side
    425.39x = 152,339.01
  5. Step 5: Solve for x
    x = 152,339.01/425.39
  6. Step 6: Final answer
    x = 358.12

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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.