Home / 1,151.26-1,588.68-653.83

Finding the Fourth Proportional to 1,151.26, 1,588.68 and 653.83

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Solution

The fourth proportional to 1,151.26, 1,588.68 and 653.83 is: 902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.26 : 1,588.68 = 653.83 : x
  2. Step 2: Convert to fraction form
    1,151.26/1,588.68 = 653.83/x
  3. Step 3: Cross multiply
    1,151.26x = 1,588.68 × 653.83
  4. Step 4: Simplify right side
    1,151.26x = 1,038,715.43
  5. Step 5: Solve for x
    x = 1,038,715.43/1,151.26
  6. Step 6: Final answer
    x = 902.25

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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.