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Finding the Fourth Proportional to 512.59, 705.69 and 429.57

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Solution

The fourth proportional to 512.59, 705.69 and 429.57 is: 591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.59 : 705.69 = 429.57 : x
  2. Step 2: Convert to fraction form
    512.59/705.69 = 429.57/x
  3. Step 3: Cross multiply
    512.59x = 705.69 × 429.57
  4. Step 4: Simplify right side
    512.59x = 303,139.72
  5. Step 5: Solve for x
    x = 303,139.72/512.59
  6. Step 6: Final answer
    x = 591.39

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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.