Home / 1,310.41-1,966.29-580.47

Finding the Fourth Proportional to 1,310.41, 1,966.29 and 580.47

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Solution

The fourth proportional to 1,310.41, 1,966.29 and 580.47 is: 871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.41 : 1,966.29 = 580.47 : x
  2. Step 2: Convert to fraction form
    1,310.41/1,966.29 = 580.47/x
  3. Step 3: Cross multiply
    1,310.41x = 1,966.29 × 580.47
  4. Step 4: Simplify right side
    1,310.41x = 1,141,372.36
  5. Step 5: Solve for x
    x = 1,141,372.36/1,310.41
  6. Step 6: Final answer
    x = 871.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.