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Finding the Fourth Proportional to 565.26, 780.05 and 316.61

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Solution

The fourth proportional to 565.26, 780.05 and 316.61 is: 436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 780.05 = 316.61 : x
  2. Step 2: Convert to fraction form
    565.26/780.05 = 316.61/x
  3. Step 3: Cross multiply
    565.26x = 780.05 × 316.61
  4. Step 4: Simplify right side
    565.26x = 246,969.67
  5. Step 5: Solve for x
    x = 246,969.67/565.26
  6. Step 6: Final answer
    x = 436.91

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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.