Home / 1,196.29-1,649.04-974.86

Finding the Fourth Proportional to 1,196.29, 1,649.04 and 974.86

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Solution

The fourth proportional to 1,196.29, 1,649.04 and 974.86 is: 1,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.29 : 1,649.04 = 974.86 : x
  2. Step 2: Convert to fraction form
    1,196.29/1,649.04 = 974.86/x
  3. Step 3: Cross multiply
    1,196.29x = 1,649.04 × 974.86
  4. Step 4: Simplify right side
    1,196.29x = 1,607,583.13
  5. Step 5: Solve for x
    x = 1,607,583.13/1,196.29
  6. Step 6: Final answer
    x = 1,343.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.