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Finding the Fourth Proportional to 1,159.23, 1,599.33 and 661.51

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Solution

The fourth proportional to 1,159.23, 1,599.33 and 661.51 is: 912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.23 : 1,599.33 = 661.51 : x
  2. Step 2: Convert to fraction form
    1,159.23/1,599.33 = 661.51/x
  3. Step 3: Cross multiply
    1,159.23x = 1,599.33 × 661.51
  4. Step 4: Simplify right side
    1,159.23x = 1,057,972.79
  5. Step 5: Solve for x
    x = 1,057,972.79/1,159.23
  6. Step 6: Final answer
    x = 912.65

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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.