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Finding the Fourth Proportional to 527.43, 790.45 and 381.67

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Solution

The fourth proportional to 527.43, 790.45 and 381.67 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.43 : 790.45 = 381.67 : x
  2. Step 2: Convert to fraction form
    527.43/790.45 = 381.67/x
  3. Step 3: Cross multiply
    527.43x = 790.45 × 381.67
  4. Step 4: Simplify right side
    527.43x = 301,689.55
  5. Step 5: Solve for x
    x = 301,689.55/527.43
  6. Step 6: Final answer
    x = 572.00

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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.