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Finding the Fourth Proportional to 527.26, 788.12 and 372.16

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Solution

The fourth proportional to 527.26, 788.12 and 372.16 is: 556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.26 : 788.12 = 372.16 : x
  2. Step 2: Convert to fraction form
    527.26/788.12 = 372.16/x
  3. Step 3: Cross multiply
    527.26x = 788.12 × 372.16
  4. Step 4: Simplify right side
    527.26x = 293,306.74
  5. Step 5: Solve for x
    x = 293,306.74/527.26
  6. Step 6: Final answer
    x = 556.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.