Home / 1,312.06-1,967.56-581.14

Finding the Fourth Proportional to 1,312.06, 1,967.56 and 581.14

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Solution

The fourth proportional to 1,312.06, 1,967.56 and 581.14 is: 871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.06 : 1,967.56 = 581.14 : x
  2. Step 2: Convert to fraction form
    1,312.06/1,967.56 = 581.14/x
  3. Step 3: Cross multiply
    1,312.06x = 1,967.56 × 581.14
  4. Step 4: Simplify right side
    1,312.06x = 1,143,427.82
  5. Step 5: Solve for x
    x = 1,143,427.82/1,312.06
  6. Step 6: Final answer
    x = 871.48

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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.