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Finding the Fourth Proportional to 552.40, 835.15 and 552.40

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Solution

The fourth proportional to 552.40, 835.15 and 552.40 is: 835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.40 : 835.15 = 552.40 : x
  2. Step 2: Convert to fraction form
    552.40/835.15 = 552.40/x
  3. Step 3: Cross multiply
    552.40x = 835.15 × 552.40
  4. Step 4: Simplify right side
    552.40x = 461,336.86
  5. Step 5: Solve for x
    x = 461,336.86/552.40
  6. Step 6: Final answer
    x = 835.15

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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.