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Finding the Fourth Proportional to 684.16, 1,024.48 and 489.76

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Solution

The fourth proportional to 684.16, 1,024.48 and 489.76 is: 733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 1,024.48 = 489.76 : x
  2. Step 2: Convert to fraction form
    684.16/1,024.48 = 489.76/x
  3. Step 3: Cross multiply
    684.16x = 1,024.48 × 489.76
  4. Step 4: Simplify right side
    684.16x = 501,749.32
  5. Step 5: Solve for x
    x = 501,749.32/684.16
  6. Step 6: Final answer
    x = 733.38

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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.