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Finding the Fourth Proportional to 1,151.63, 1,588.53 and 820.51

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Solution

The fourth proportional to 1,151.63, 1,588.53 and 820.51 is: 1,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.63 : 1,588.53 = 820.51 : x
  2. Step 2: Convert to fraction form
    1,151.63/1,588.53 = 820.51/x
  3. Step 3: Cross multiply
    1,151.63x = 1,588.53 × 820.51
  4. Step 4: Simplify right side
    1,151.63x = 1,303,400.78
  5. Step 5: Solve for x
    x = 1,303,400.78/1,151.63
  6. Step 6: Final answer
    x = 1,131.79

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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.