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Finding the Fourth Proportional to 1,104.36, 1,525.94 and 907.72

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Solution

The fourth proportional to 1,104.36, 1,525.94 and 907.72 is: 1,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.36 : 1,525.94 = 907.72 : x
  2. Step 2: Convert to fraction form
    1,104.36/1,525.94 = 907.72/x
  3. Step 3: Cross multiply
    1,104.36x = 1,525.94 × 907.72
  4. Step 4: Simplify right side
    1,104.36x = 1,385,126.26
  5. Step 5: Solve for x
    x = 1,385,126.26/1,104.36
  6. Step 6: Final answer
    x = 1,254.23

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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.