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Finding the Fourth Proportional to 907.24, 1,252.07 and 627.64

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Solution

The fourth proportional to 907.24, 1,252.07 and 627.64 is: 866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.24 : 1,252.07 = 627.64 : x
  2. Step 2: Convert to fraction form
    907.24/1,252.07 = 627.64/x
  3. Step 3: Cross multiply
    907.24x = 1,252.07 × 627.64
  4. Step 4: Simplify right side
    907.24x = 785,849.21
  5. Step 5: Solve for x
    x = 785,849.21/907.24
  6. Step 6: Final answer
    x = 866.20

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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.