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Finding the Fourth Proportional to 557.44, 766.05 and 452.30

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Solution

The fourth proportional to 557.44, 766.05 and 452.30 is: 621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 766.05 = 452.30 : x
  2. Step 2: Convert to fraction form
    557.44/766.05 = 452.30/x
  3. Step 3: Cross multiply
    557.44x = 766.05 × 452.30
  4. Step 4: Simplify right side
    557.44x = 346,484.07
  5. Step 5: Solve for x
    x = 346,484.07/557.44
  6. Step 6: Final answer
    x = 621.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.