Home / 1,316.09-1,974.13-535.91

Finding the Fourth Proportional to 1,316.09, 1,974.13 and 535.91

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Solution

The fourth proportional to 1,316.09, 1,974.13 and 535.91 is: 803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.09 : 1,974.13 = 535.91 : x
  2. Step 2: Convert to fraction form
    1,316.09/1,974.13 = 535.91/x
  3. Step 3: Cross multiply
    1,316.09x = 1,974.13 × 535.91
  4. Step 4: Simplify right side
    1,316.09x = 1,057,954.89
  5. Step 5: Solve for x
    x = 1,057,954.89/1,316.09
  6. Step 6: Final answer
    x = 803.86

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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.