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Finding the Fourth Proportional to 517.15, 712.98 and 428.30

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Solution

The fourth proportional to 517.15, 712.98 and 428.30 is: 590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.15 : 712.98 = 428.30 : x
  2. Step 2: Convert to fraction form
    517.15/712.98 = 428.30/x
  3. Step 3: Cross multiply
    517.15x = 712.98 × 428.30
  4. Step 4: Simplify right side
    517.15x = 305,368.24
  5. Step 5: Solve for x
    x = 305,368.24/517.15
  6. Step 6: Final answer
    x = 590.49

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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.