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Finding the Fourth Proportional to 559.64, 770.52 and 461.24

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Solution

The fourth proportional to 559.64, 770.52 and 461.24 is: 635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.64 : 770.52 = 461.24 : x
  2. Step 2: Convert to fraction form
    559.64/770.52 = 461.24/x
  3. Step 3: Cross multiply
    559.64x = 770.52 × 461.24
  4. Step 4: Simplify right side
    559.64x = 355,394.64
  5. Step 5: Solve for x
    x = 355,394.64/559.64
  6. Step 6: Final answer
    x = 635.04

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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.