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Finding the Fourth Proportional to 559.61, 772.84 and 418.16

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Solution

The fourth proportional to 559.61, 772.84 and 418.16 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.61 : 772.84 = 418.16 : x
  2. Step 2: Convert to fraction form
    559.61/772.84 = 418.16/x
  3. Step 3: Cross multiply
    559.61x = 772.84 × 418.16
  4. Step 4: Simplify right side
    559.61x = 323,173.23
  5. Step 5: Solve for x
    x = 323,173.23/559.61
  6. Step 6: Final answer
    x = 577.50

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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.