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Finding the Fourth Proportional to 559.87, 772.08 and 505.18

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Solution

The fourth proportional to 559.87, 772.08 and 505.18 is: 696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.87 : 772.08 = 505.18 : x
  2. Step 2: Convert to fraction form
    559.87/772.08 = 505.18/x
  3. Step 3: Cross multiply
    559.87x = 772.08 × 505.18
  4. Step 4: Simplify right side
    559.87x = 390,039.37
  5. Step 5: Solve for x
    x = 390,039.37/559.87
  6. Step 6: Final answer
    x = 696.66

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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.