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Finding the Fourth Proportional to 502.19, 748.35 and 485.67

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Solution

The fourth proportional to 502.19, 748.35 and 485.67 is: 723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.19 : 748.35 = 485.67 : x
  2. Step 2: Convert to fraction form
    502.19/748.35 = 485.67/x
  3. Step 3: Cross multiply
    502.19x = 748.35 × 485.67
  4. Step 4: Simplify right side
    502.19x = 363,455.77
  5. Step 5: Solve for x
    x = 363,455.77/502.19
  6. Step 6: Final answer
    x = 723.74

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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.