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Finding the Fourth Proportional to 559.31, 772.74 and 526.50

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Solution

The fourth proportional to 559.31, 772.74 and 526.50 is: 727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.31 : 772.74 = 526.50 : x
  2. Step 2: Convert to fraction form
    559.31/772.74 = 526.50/x
  3. Step 3: Cross multiply
    559.31x = 772.74 × 526.50
  4. Step 4: Simplify right side
    559.31x = 406,847.61
  5. Step 5: Solve for x
    x = 406,847.61/559.31
  6. Step 6: Final answer
    x = 727.42

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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.