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Finding the Fourth Proportional to 545.81, 822.74 and 455.11

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Solution

The fourth proportional to 545.81, 822.74 and 455.11 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.81 : 822.74 = 455.11 : x
  2. Step 2: Convert to fraction form
    545.81/822.74 = 455.11/x
  3. Step 3: Cross multiply
    545.81x = 822.74 × 455.11
  4. Step 4: Simplify right side
    545.81x = 374,432.87
  5. Step 5: Solve for x
    x = 374,432.87/545.81
  6. Step 6: Final answer
    x = 686.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.