Home / 1,431.07-1,974.85-801.58

Finding the Fourth Proportional to 1,431.07, 1,974.85 and 801.58

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Solution

The fourth proportional to 1,431.07, 1,974.85 and 801.58 is: 1,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.07 : 1,974.85 = 801.58 : x
  2. Step 2: Convert to fraction form
    1,431.07/1,974.85 = 801.58/x
  3. Step 3: Cross multiply
    1,431.07x = 1,974.85 × 801.58
  4. Step 4: Simplify right side
    1,431.07x = 1,583,000.26
  5. Step 5: Solve for x
    x = 1,583,000.26/1,431.07
  6. Step 6: Final answer
    x = 1,106.17

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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.