Home / 1,315.40-1,971.53-611.66

Finding the Fourth Proportional to 1,315.40, 1,971.53 and 611.66

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Solution

The fourth proportional to 1,315.40, 1,971.53 and 611.66 is: 916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.40 : 1,971.53 = 611.66 : x
  2. Step 2: Convert to fraction form
    1,315.40/1,971.53 = 611.66/x
  3. Step 3: Cross multiply
    1,315.40x = 1,971.53 × 611.66
  4. Step 4: Simplify right side
    1,315.40x = 1,205,907.57
  5. Step 5: Solve for x
    x = 1,205,907.57/1,315.40
  6. Step 6: Final answer
    x = 916.76

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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.