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Finding the Fourth Proportional to 565.46, 842.64 and 546.88

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Solution

The fourth proportional to 565.46, 842.64 and 546.88 is: 814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 842.64 = 546.88 : x
  2. Step 2: Convert to fraction form
    565.46/842.64 = 546.88/x
  3. Step 3: Cross multiply
    565.46x = 842.64 × 546.88
  4. Step 4: Simplify right side
    565.46x = 460,826.44
  5. Step 5: Solve for x
    x = 460,826.44/565.46
  6. Step 6: Final answer
    x = 814.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.