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Finding the Fourth Proportional to 944.66, 1,417.30 and 807.98

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Solution

The fourth proportional to 944.66, 1,417.30 and 807.98 is: 1,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.66 : 1,417.30 = 807.98 : x
  2. Step 2: Convert to fraction form
    944.66/1,417.30 = 807.98/x
  3. Step 3: Cross multiply
    944.66x = 1,417.30 × 807.98
  4. Step 4: Simplify right side
    944.66x = 1,145,140.95
  5. Step 5: Solve for x
    x = 1,145,140.95/944.66
  6. Step 6: Final answer
    x = 1,212.22

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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.