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Finding the Fourth Proportional to 1,405.04, 1,939.58 and 907.92

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Solution

The fourth proportional to 1,405.04, 1,939.58 and 907.92 is: 1,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.04 : 1,939.58 = 907.92 : x
  2. Step 2: Convert to fraction form
    1,405.04/1,939.58 = 907.92/x
  3. Step 3: Cross multiply
    1,405.04x = 1,939.58 × 907.92
  4. Step 4: Simplify right side
    1,405.04x = 1,760,983.47
  5. Step 5: Solve for x
    x = 1,760,983.47/1,405.04
  6. Step 6: Final answer
    x = 1,253.33

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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.