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Finding the Fourth Proportional to 425.50, 586.65 and 314.79

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Solution

The fourth proportional to 425.50, 586.65 and 314.79 is: 434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.50 : 586.65 = 314.79 : x
  2. Step 2: Convert to fraction form
    425.50/586.65 = 314.79/x
  3. Step 3: Cross multiply
    425.50x = 586.65 × 314.79
  4. Step 4: Simplify right side
    425.50x = 184,668.62
  5. Step 5: Solve for x
    x = 184,668.62/425.50
  6. Step 6: Final answer
    x = 434.00

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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.