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Finding the Fourth Proportional to 557.25, 766.40 and 446.55

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Solution

The fourth proportional to 557.25, 766.40 and 446.55 is: 614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.25 : 766.40 = 446.55 : x
  2. Step 2: Convert to fraction form
    557.25/766.40 = 446.55/x
  3. Step 3: Cross multiply
    557.25x = 766.40 × 446.55
  4. Step 4: Simplify right side
    557.25x = 342,230.81
  5. Step 5: Solve for x
    x = 342,230.81/557.25
  6. Step 6: Final answer
    x = 614.15

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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.