Home / 1,312.11-1,966.59-580.86

Finding the Fourth Proportional to 1,312.11, 1,966.59 and 580.86

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Solution

The fourth proportional to 1,312.11, 1,966.59 and 580.86 is: 870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.11 : 1,966.59 = 580.86 : x
  2. Step 2: Convert to fraction form
    1,312.11/1,966.59 = 580.86/x
  3. Step 3: Cross multiply
    1,312.11x = 1,966.59 × 580.86
  4. Step 4: Simplify right side
    1,312.11x = 1,142,313.47
  5. Step 5: Solve for x
    x = 1,142,313.47/1,312.11
  6. Step 6: Final answer
    x = 870.59

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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.