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Finding the Fourth Proportional to 1,189.90, 1,642.47 and 718.06

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Solution

The fourth proportional to 1,189.90, 1,642.47 and 718.06 is: 991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.90 : 1,642.47 = 718.06 : x
  2. Step 2: Convert to fraction form
    1,189.90/1,642.47 = 718.06/x
  3. Step 3: Cross multiply
    1,189.90x = 1,642.47 × 718.06
  4. Step 4: Simplify right side
    1,189.90x = 1,179,392.01
  5. Step 5: Solve for x
    x = 1,179,392.01/1,189.90
  6. Step 6: Final answer
    x = 991.17

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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.