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Finding the Fourth Proportional to 1,151.74, 1,588.94 and 654.31

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Solution

The fourth proportional to 1,151.74, 1,588.94 and 654.31 is: 902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.74 : 1,588.94 = 654.31 : x
  2. Step 2: Convert to fraction form
    1,151.74/1,588.94 = 654.31/x
  3. Step 3: Cross multiply
    1,151.74x = 1,588.94 × 654.31
  4. Step 4: Simplify right side
    1,151.74x = 1,039,656.99
  5. Step 5: Solve for x
    x = 1,039,656.99/1,151.74
  6. Step 6: Final answer
    x = 902.69

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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.