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Finding the Fourth Proportional to 527.75, 795.20 and 438.45

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Solution

The fourth proportional to 527.75, 795.20 and 438.45 is: 660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 795.20 = 438.45 : x
  2. Step 2: Convert to fraction form
    527.75/795.20 = 438.45/x
  3. Step 3: Cross multiply
    527.75x = 795.20 × 438.45
  4. Step 4: Simplify right side
    527.75x = 348,655.44
  5. Step 5: Solve for x
    x = 348,655.44/527.75
  6. Step 6: Final answer
    x = 660.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.