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Finding the Fourth Proportional to 565.35, 780.21 and 316.71

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Solution

The fourth proportional to 565.35, 780.21 and 316.71 is: 437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.35 : 780.21 = 316.71 : x
  2. Step 2: Convert to fraction form
    565.35/780.21 = 316.71/x
  3. Step 3: Cross multiply
    565.35x = 780.21 × 316.71
  4. Step 4: Simplify right side
    565.35x = 247,100.31
  5. Step 5: Solve for x
    x = 247,100.31/565.35
  6. Step 6: Final answer
    x = 437.07

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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.