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Finding the Fourth Proportional to 1,101.23, 1,519.69 and 597.08

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Solution

The fourth proportional to 1,101.23, 1,519.69 and 597.08 is: 823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.23 : 1,519.69 = 597.08 : x
  2. Step 2: Convert to fraction form
    1,101.23/1,519.69 = 597.08/x
  3. Step 3: Cross multiply
    1,101.23x = 1,519.69 × 597.08
  4. Step 4: Simplify right side
    1,101.23x = 907,365.92
  5. Step 5: Solve for x
    x = 907,365.92/1,101.23
  6. Step 6: Final answer
    x = 823.96

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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.