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Finding the Fourth Proportional to 758.12, 1,041.68 and 602.60

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Solution

The fourth proportional to 758.12, 1,041.68 and 602.60 is: 827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.12 : 1,041.68 = 602.60 : x
  2. Step 2: Convert to fraction form
    758.12/1,041.68 = 602.60/x
  3. Step 3: Cross multiply
    758.12x = 1,041.68 × 602.60
  4. Step 4: Simplify right side
    758.12x = 627,716.37
  5. Step 5: Solve for x
    x = 627,716.37/758.12
  6. Step 6: Final answer
    x = 827.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.