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Finding the Fourth Proportional to 426.78, 589.26 and 316.50

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Solution

The fourth proportional to 426.78, 589.26 and 316.50 is: 437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.78 : 589.26 = 316.50 : x
  2. Step 2: Convert to fraction form
    426.78/589.26 = 316.50/x
  3. Step 3: Cross multiply
    426.78x = 589.26 × 316.50
  4. Step 4: Simplify right side
    426.78x = 186,500.79
  5. Step 5: Solve for x
    x = 186,500.79/426.78
  6. Step 6: Final answer
    x = 437.00

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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.