Home / 1,314.18-1,971.66-534.50

Finding the Fourth Proportional to 1,314.18, 1,971.66 and 534.50

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Solution

The fourth proportional to 1,314.18, 1,971.66 and 534.50 is: 801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.18 : 1,971.66 = 534.50 : x
  2. Step 2: Convert to fraction form
    1,314.18/1,971.66 = 534.50/x
  3. Step 3: Cross multiply
    1,314.18x = 1,971.66 × 534.50
  4. Step 4: Simplify right side
    1,314.18x = 1,053,852.27
  5. Step 5: Solve for x
    x = 1,053,852.27/1,314.18
  6. Step 6: Final answer
    x = 801.91

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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.