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Finding the Fourth Proportional to 944.59, 1,415.86 and 807.22

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Solution

The fourth proportional to 944.59, 1,415.86 and 807.22 is: 1,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.59 : 1,415.86 = 807.22 : x
  2. Step 2: Convert to fraction form
    944.59/1,415.86 = 807.22/x
  3. Step 3: Cross multiply
    944.59x = 1,415.86 × 807.22
  4. Step 4: Simplify right side
    944.59x = 1,142,910.51
  5. Step 5: Solve for x
    x = 1,142,910.51/944.59
  6. Step 6: Final answer
    x = 1,209.95

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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.