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Finding the Fourth Proportional to 527.58, 788.58 and 516.65

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Solution

The fourth proportional to 527.58, 788.58 and 516.65 is: 772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.58 : 788.58 = 516.65 : x
  2. Step 2: Convert to fraction form
    527.58/788.58 = 516.65/x
  3. Step 3: Cross multiply
    527.58x = 788.58 × 516.65
  4. Step 4: Simplify right side
    527.58x = 407,415.91
  5. Step 5: Solve for x
    x = 407,415.91/527.58
  6. Step 6: Final answer
    x = 772.24

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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.