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Finding the Fourth Proportional to 907.56, 1,252.84 and 613.72

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Solution

The fourth proportional to 907.56, 1,252.84 and 613.72 is: 847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.56 : 1,252.84 = 613.72 : x
  2. Step 2: Convert to fraction form
    907.56/1,252.84 = 613.72/x
  3. Step 3: Cross multiply
    907.56x = 1,252.84 × 613.72
  4. Step 4: Simplify right side
    907.56x = 768,892.96
  5. Step 5: Solve for x
    x = 768,892.96/907.56
  6. Step 6: Final answer
    x = 847.21

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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.