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Finding the Fourth Proportional to 558.24, 769.12 and 508.56

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Solution

The fourth proportional to 558.24, 769.12 and 508.56 is: 700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.24 : 769.12 = 508.56 : x
  2. Step 2: Convert to fraction form
    558.24/769.12 = 508.56/x
  3. Step 3: Cross multiply
    558.24x = 769.12 × 508.56
  4. Step 4: Simplify right side
    558.24x = 391,143.67
  5. Step 5: Solve for x
    x = 391,143.67/558.24
  6. Step 6: Final answer
    x = 700.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.