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Finding the Fourth Proportional to 830.11, 1,145.31 and 535.48

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Solution

The fourth proportional to 830.11, 1,145.31 and 535.48 is: 738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.11 : 1,145.31 = 535.48 : x
  2. Step 2: Convert to fraction form
    830.11/1,145.31 = 535.48/x
  3. Step 3: Cross multiply
    830.11x = 1,145.31 × 535.48
  4. Step 4: Simplify right side
    830.11x = 613,290.60
  5. Step 5: Solve for x
    x = 613,290.60/830.11
  6. Step 6: Final answer
    x = 738.81

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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.