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Finding the Fourth Proportional to 784.71, 1,084.03 and 627.14

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Solution

The fourth proportional to 784.71, 1,084.03 and 627.14 is: 866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.71 : 1,084.03 = 627.14 : x
  2. Step 2: Convert to fraction form
    784.71/1,084.03 = 627.14/x
  3. Step 3: Cross multiply
    784.71x = 1,084.03 × 627.14
  4. Step 4: Simplify right side
    784.71x = 679,843.24
  5. Step 5: Solve for x
    x = 679,843.24/784.71
  6. Step 6: Final answer
    x = 866.36

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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.