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Finding the Fourth Proportional to 1,191.07, 1,643.65 and 659.99

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Solution

The fourth proportional to 1,191.07, 1,643.65 and 659.99 is: 910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.07 : 1,643.65 = 659.99 : x
  2. Step 2: Convert to fraction form
    1,191.07/1,643.65 = 659.99/x
  3. Step 3: Cross multiply
    1,191.07x = 1,643.65 × 659.99
  4. Step 4: Simplify right side
    1,191.07x = 1,084,792.56
  5. Step 5: Solve for x
    x = 1,084,792.56/1,191.07
  6. Step 6: Final answer
    x = 910.77

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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.