Home / 1,312.14-1,967.71-531.94

Finding the Fourth Proportional to 1,312.14, 1,967.71 and 531.94

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Solution

The fourth proportional to 1,312.14, 1,967.71 and 531.94 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.14 : 1,967.71 = 531.94 : x
  2. Step 2: Convert to fraction form
    1,312.14/1,967.71 = 531.94/x
  3. Step 3: Cross multiply
    1,312.14x = 1,967.71 × 531.94
  4. Step 4: Simplify right side
    1,312.14x = 1,046,703.66
  5. Step 5: Solve for x
    x = 1,046,703.66/1,312.14
  6. Step 6: Final answer
    x = 797.71

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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.