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Finding the Fourth Proportional to 512.55, 706.38 and 387.54

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Solution

The fourth proportional to 512.55, 706.38 and 387.54 is: 534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.55 : 706.38 = 387.54 : x
  2. Step 2: Convert to fraction form
    512.55/706.38 = 387.54/x
  3. Step 3: Cross multiply
    512.55x = 706.38 × 387.54
  4. Step 4: Simplify right side
    512.55x = 273,750.51
  5. Step 5: Solve for x
    x = 273,750.51/512.55
  6. Step 6: Final answer
    x = 534.10

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1.5x scale

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.