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Finding the Fourth Proportional to 1,019.88, 1,407.42 and 627

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Solution

The fourth proportional to 1,019.88, 1,407.42 and 627 is: 865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.88 : 1,407.42 = 627 : x
  2. Step 2: Convert to fraction form
    1,019.88/1,407.42 = 627/x
  3. Step 3: Cross multiply
    1,019.88x = 1,407.42 × 627
  4. Step 4: Simplify right side
    1,019.88x = 882,452.34
  5. Step 5: Solve for x
    x = 882,452.34/1,019.88
  6. Step 6: Final answer
    x = 865.25

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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.