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Finding the Fourth Proportional to 425.00, 586.76 and 285.59

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Solution

The fourth proportional to 425.00, 586.76 and 285.59 is: 394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.00 : 586.76 = 285.59 : x
  2. Step 2: Convert to fraction form
    425.00/586.76 = 285.59/x
  3. Step 3: Cross multiply
    425.00x = 586.76 × 285.59
  4. Step 4: Simplify right side
    425.00x = 167,572.83
  5. Step 5: Solve for x
    x = 167,572.83/425.00
  6. Step 6: Final answer
    x = 394.29

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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.