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Finding the Fourth Proportional to 527.69, 790.58 and 344.63

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Solution

The fourth proportional to 527.69, 790.58 and 344.63 is: 516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.69 : 790.58 = 344.63 : x
  2. Step 2: Convert to fraction form
    527.69/790.58 = 344.63/x
  3. Step 3: Cross multiply
    527.69x = 790.58 × 344.63
  4. Step 4: Simplify right side
    527.69x = 272,451.91
  5. Step 5: Solve for x
    x = 272,451.91/527.69
  6. Step 6: Final answer
    x = 516.32

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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.