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Finding the Fourth Proportional to 758.25, 1,135.40 and 513.63

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Solution

The fourth proportional to 758.25, 1,135.40 and 513.63 is: 769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.25 : 1,135.40 = 513.63 : x
  2. Step 2: Convert to fraction form
    758.25/1,135.40 = 513.63/x
  3. Step 3: Cross multiply
    758.25x = 1,135.40 × 513.63
  4. Step 4: Simplify right side
    758.25x = 583,172.93
  5. Step 5: Solve for x
    x = 583,172.93/758.25
  6. Step 6: Final answer
    x = 769.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.