Home / 1,151.20-1,588.77-653.87

Finding the Fourth Proportional to 1,151.20, 1,588.77 and 653.87

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Solution

The fourth proportional to 1,151.20, 1,588.77 and 653.87 is: 902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.20 : 1,588.77 = 653.87 : x
  2. Step 2: Convert to fraction form
    1,151.20/1,588.77 = 653.87/x
  3. Step 3: Cross multiply
    1,151.20x = 1,588.77 × 653.87
  4. Step 4: Simplify right side
    1,151.20x = 1,038,849.04
  5. Step 5: Solve for x
    x = 1,038,849.04/1,151.20
  6. Step 6: Final answer
    x = 902.41

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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.