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Finding the Fourth Proportional to 1,326.47, 1,831.37 and 907.52

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Solution

The fourth proportional to 1,326.47, 1,831.37 and 907.52 is: 1,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.47 : 1,831.37 = 907.52 : x
  2. Step 2: Convert to fraction form
    1,326.47/1,831.37 = 907.52/x
  3. Step 3: Cross multiply
    1,326.47x = 1,831.37 × 907.52
  4. Step 4: Simplify right side
    1,326.47x = 1,661,991.21
  5. Step 5: Solve for x
    x = 1,661,991.21/1,326.47
  6. Step 6: Final answer
    x = 1,252.95

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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.