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Finding the Fourth Proportional to 563.53, 842.18 and 417.59

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Solution

The fourth proportional to 563.53, 842.18 and 417.59 is: 624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.53 : 842.18 = 417.59 : x
  2. Step 2: Convert to fraction form
    563.53/842.18 = 417.59/x
  3. Step 3: Cross multiply
    563.53x = 842.18 × 417.59
  4. Step 4: Simplify right side
    563.53x = 351,685.95
  5. Step 5: Solve for x
    x = 351,685.95/563.53
  6. Step 6: Final answer
    x = 624.08

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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.