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Finding the Fourth Proportional to 565.53, 842.74 and 546.95

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Solution

The fourth proportional to 565.53, 842.74 and 546.95 is: 815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.53 : 842.74 = 546.95 : x
  2. Step 2: Convert to fraction form
    565.53/842.74 = 546.95/x
  3. Step 3: Cross multiply
    565.53x = 842.74 × 546.95
  4. Step 4: Simplify right side
    565.53x = 460,930.04
  5. Step 5: Solve for x
    x = 460,930.04/565.53
  6. Step 6: Final answer
    x = 815.05

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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.