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Finding the Fourth Proportional to 527.26, 790.08 and 310.60

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Solution

The fourth proportional to 527.26, 790.08 and 310.60 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.26 : 790.08 = 310.60 : x
  2. Step 2: Convert to fraction form
    527.26/790.08 = 310.60/x
  3. Step 3: Cross multiply
    527.26x = 790.08 × 310.60
  4. Step 4: Simplify right side
    527.26x = 245,398.85
  5. Step 5: Solve for x
    x = 245,398.85/527.26
  6. Step 6: Final answer
    x = 465.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.