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Finding the Fourth Proportional to 565.31, 780.11 and 316.66

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Solution

The fourth proportional to 565.31, 780.11 and 316.66 is: 436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 780.11 = 316.66 : x
  2. Step 2: Convert to fraction form
    565.31/780.11 = 316.66/x
  3. Step 3: Cross multiply
    565.31x = 780.11 × 316.66
  4. Step 4: Simplify right side
    565.31x = 247,029.63
  5. Step 5: Solve for x
    x = 247,029.63/565.31
  6. Step 6: Final answer
    x = 436.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.