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Finding the Fourth Proportional to 552.15, 823.95 and 490.79

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Solution

The fourth proportional to 552.15, 823.95 and 490.79 is: 732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.15 : 823.95 = 490.79 : x
  2. Step 2: Convert to fraction form
    552.15/823.95 = 490.79/x
  3. Step 3: Cross multiply
    552.15x = 823.95 × 490.79
  4. Step 4: Simplify right side
    552.15x = 404,386.42
  5. Step 5: Solve for x
    x = 404,386.42/552.15
  6. Step 6: Final answer
    x = 732.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.