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Finding the Fourth Proportional to 512.39, 706.38 and 429.36

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Solution

The fourth proportional to 512.39, 706.38 and 429.36 is: 591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.39 : 706.38 = 429.36 : x
  2. Step 2: Convert to fraction form
    512.39/706.38 = 429.36/x
  3. Step 3: Cross multiply
    512.39x = 706.38 × 429.36
  4. Step 4: Simplify right side
    512.39x = 303,291.32
  5. Step 5: Solve for x
    x = 303,291.32/512.39
  6. Step 6: Final answer
    x = 591.92

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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.