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Finding the Fourth Proportional to 532.39, 803.39 and 513.08

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Solution

The fourth proportional to 532.39, 803.39 and 513.08 is: 774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.39 : 803.39 = 513.08 : x
  2. Step 2: Convert to fraction form
    532.39/803.39 = 513.08/x
  3. Step 3: Cross multiply
    532.39x = 803.39 × 513.08
  4. Step 4: Simplify right side
    532.39x = 412,202.02
  5. Step 5: Solve for x
    x = 412,202.02/532.39
  6. Step 6: Final answer
    x = 774.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.