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Finding the Fourth Proportional to 907.76, 1,252.82 and 613.66

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Solution

The fourth proportional to 907.76, 1,252.82 and 613.66 is: 846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.76 : 1,252.82 = 613.66 : x
  2. Step 2: Convert to fraction form
    907.76/1,252.82 = 613.66/x
  3. Step 3: Cross multiply
    907.76x = 1,252.82 × 613.66
  4. Step 4: Simplify right side
    907.76x = 768,805.52
  5. Step 5: Solve for x
    x = 768,805.52/907.76
  6. Step 6: Final answer
    x = 846.93

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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.