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Finding the Fourth Proportional to 807.66, 1,212.28 and 627.02

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Solution

The fourth proportional to 807.66, 1,212.28 and 627.02 is: 941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.66 : 1,212.28 = 627.02 : x
  2. Step 2: Convert to fraction form
    807.66/1,212.28 = 627.02/x
  3. Step 3: Cross multiply
    807.66x = 1,212.28 × 627.02
  4. Step 4: Simplify right side
    807.66x = 760,123.81
  5. Step 5: Solve for x
    x = 760,123.81/807.66
  6. Step 6: Final answer
    x = 941.14

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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.