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Finding the Fourth Proportional to 797.84, 1,099.92 and 545.72

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Solution

The fourth proportional to 797.84, 1,099.92 and 545.72 is: 752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.84 : 1,099.92 = 545.72 : x
  2. Step 2: Convert to fraction form
    797.84/1,099.92 = 545.72/x
  3. Step 3: Cross multiply
    797.84x = 1,099.92 × 545.72
  4. Step 4: Simplify right side
    797.84x = 600,248.34
  5. Step 5: Solve for x
    x = 600,248.34/797.84
  6. Step 6: Final answer
    x = 752.34

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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.