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Finding the Fourth Proportional to 1,305.31, 1,801.32 and 715.83

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Solution

The fourth proportional to 1,305.31, 1,801.32 and 715.83 is: 987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.31 : 1,801.32 = 715.83 : x
  2. Step 2: Convert to fraction form
    1,305.31/1,801.32 = 715.83/x
  3. Step 3: Cross multiply
    1,305.31x = 1,801.32 × 715.83
  4. Step 4: Simplify right side
    1,305.31x = 1,289,438.90
  5. Step 5: Solve for x
    x = 1,289,438.90/1,305.31
  6. Step 6: Final answer
    x = 987.84

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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.