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Finding the Fourth Proportional to 425.00, 585.09 and 314.29

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Solution

The fourth proportional to 425.00, 585.09 and 314.29 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.00 : 585.09 = 314.29 : x
  2. Step 2: Convert to fraction form
    425.00/585.09 = 314.29/x
  3. Step 3: Cross multiply
    425.00x = 585.09 × 314.29
  4. Step 4: Simplify right side
    425.00x = 183,886.47
  5. Step 5: Solve for x
    x = 183,886.47/425.00
  6. Step 6: Final answer
    x = 432.67

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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.