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Finding the Fourth Proportional to 830.13, 1,145.24 and 535.56

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Solution

The fourth proportional to 830.13, 1,145.24 and 535.56 is: 738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.13 : 1,145.24 = 535.56 : x
  2. Step 2: Convert to fraction form
    830.13/1,145.24 = 535.56/x
  3. Step 3: Cross multiply
    830.13x = 1,145.24 × 535.56
  4. Step 4: Simplify right side
    830.13x = 613,344.73
  5. Step 5: Solve for x
    x = 613,344.73/830.13
  6. Step 6: Final answer
    x = 738.85

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Double scale
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1.5x scale

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.