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Finding the Fourth Proportional to 830.44, 1,145.57 and 633.61

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Solution

The fourth proportional to 830.44, 1,145.57 and 633.61 is: 874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,145.57 = 633.61 : x
  2. Step 2: Convert to fraction form
    830.44/1,145.57 = 633.61/x
  3. Step 3: Cross multiply
    830.44x = 1,145.57 × 633.61
  4. Step 4: Simplify right side
    830.44x = 725,835.71
  5. Step 5: Solve for x
    x = 725,835.71/830.44
  6. Step 6: Final answer
    x = 874.04

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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.