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Finding the Fourth Proportional to 907, 1,352.25 and 851.92

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Solution

The fourth proportional to 907, 1,352.25 and 851.92 is: 1,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    907 : 1,352.25 = 851.92 : x
  2. Step 2: Convert to fraction form
    907/1,352.25 = 851.92/x
  3. Step 3: Cross multiply
    907x = 1,352.25 × 851.92
  4. Step 4: Simplify right side
    907x = 1,152,008.82
  5. Step 5: Solve for x
    x = 1,152,008.82/907
  6. Step 6: Final answer
    x = 1,270.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.