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Finding the Fourth Proportional to 512.80, 708.06 and 414.40

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Solution

The fourth proportional to 512.80, 708.06 and 414.40 is: 572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 708.06 = 414.40 : x
  2. Step 2: Convert to fraction form
    512.80/708.06 = 414.40/x
  3. Step 3: Cross multiply
    512.80x = 708.06 × 414.40
  4. Step 4: Simplify right side
    512.80x = 293,420.06
  5. Step 5: Solve for x
    x = 293,420.06/512.80
  6. Step 6: Final answer
    x = 572.19

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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.