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Finding the Fourth Proportional to 913.20, 1,359.48 and 907.80

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Solution

The fourth proportional to 913.20, 1,359.48 and 907.80 is: 1,351.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.20 : 1,359.48 = 907.80 : x
  2. Step 2: Convert to fraction form
    913.20/1,359.48 = 907.80/x
  3. Step 3: Cross multiply
    913.20x = 1,359.48 × 907.80
  4. Step 4: Simplify right side
    913.20x = 1,234,135.94
  5. Step 5: Solve for x
    x = 1,234,135.94/913.20
  6. Step 6: Final answer
    x = 1,351.44

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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.