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Finding the Fourth Proportional to 1,191.90, 1,645.23 and 720.06

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Solution

The fourth proportional to 1,191.90, 1,645.23 and 720.06 is: 993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.90 : 1,645.23 = 720.06 : x
  2. Step 2: Convert to fraction form
    1,191.90/1,645.23 = 720.06/x
  3. Step 3: Cross multiply
    1,191.90x = 1,645.23 × 720.06
  4. Step 4: Simplify right side
    1,191.90x = 1,184,664.31
  5. Step 5: Solve for x
    x = 1,184,664.31/1,191.90
  6. Step 6: Final answer
    x = 993.93

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1.5x scale

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.