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Finding the Fourth Proportional to 811.06, 1,118.63 and 545.78

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Solution

The fourth proportional to 811.06, 1,118.63 and 545.78 is: 752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.06 : 1,118.63 = 545.78 : x
  2. Step 2: Convert to fraction form
    811.06/1,118.63 = 545.78/x
  3. Step 3: Cross multiply
    811.06x = 1,118.63 × 545.78
  4. Step 4: Simplify right side
    811.06x = 610,525.88
  5. Step 5: Solve for x
    x = 610,525.88/811.06
  6. Step 6: Final answer
    x = 752.75

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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.