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Finding the Fourth Proportional to 1,349.06, 1,860.24 and 900.80

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Solution

The fourth proportional to 1,349.06, 1,860.24 and 900.80 is: 1,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.06 : 1,860.24 = 900.80 : x
  2. Step 2: Convert to fraction form
    1,349.06/1,860.24 = 900.80/x
  3. Step 3: Cross multiply
    1,349.06x = 1,860.24 × 900.80
  4. Step 4: Simplify right side
    1,349.06x = 1,675,704.19
  5. Step 5: Solve for x
    x = 1,675,704.19/1,349.06
  6. Step 6: Final answer
    x = 1,242.13

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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.