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Finding the Fourth Proportional to 1,505.09, 2,077.16 and 875.81

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Solution

The fourth proportional to 1,505.09, 2,077.16 and 875.81 is: 1,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.09 : 2,077.16 = 875.81 : x
  2. Step 2: Convert to fraction form
    1,505.09/2,077.16 = 875.81/x
  3. Step 3: Cross multiply
    1,505.09x = 2,077.16 × 875.81
  4. Step 4: Simplify right side
    1,505.09x = 1,819,198.31
  5. Step 5: Solve for x
    x = 1,819,198.31/1,505.09
  6. Step 6: Final answer
    x = 1,208.70

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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.