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Finding the Fourth Proportional to 571, 786.92 and 446.47

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Solution

The fourth proportional to 571, 786.92 and 446.47 is: 615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    571 : 786.92 = 446.47 : x
  2. Step 2: Convert to fraction form
    571/786.92 = 446.47/x
  3. Step 3: Cross multiply
    571x = 786.92 × 446.47
  4. Step 4: Simplify right side
    571x = 351,336.17
  5. Step 5: Solve for x
    x = 351,336.17/571
  6. Step 6: Final answer
    x = 615.30

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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.