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Finding the Fourth Proportional to 907.86, 1,252.80 and 514.92

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Solution

The fourth proportional to 907.86, 1,252.80 and 514.92 is: 710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.86 : 1,252.80 = 514.92 : x
  2. Step 2: Convert to fraction form
    907.86/1,252.80 = 514.92/x
  3. Step 3: Cross multiply
    907.86x = 1,252.80 × 514.92
  4. Step 4: Simplify right side
    907.86x = 645,091.78
  5. Step 5: Solve for x
    x = 645,091.78/907.86
  6. Step 6: Final answer
    x = 710.56

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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.