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Finding the Fourth Proportional to 1,102.68, 1,521.77 and 605.34

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Solution

The fourth proportional to 1,102.68, 1,521.77 and 605.34 is: 835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.68 : 1,521.77 = 605.34 : x
  2. Step 2: Convert to fraction form
    1,102.68/1,521.77 = 605.34/x
  3. Step 3: Cross multiply
    1,102.68x = 1,521.77 × 605.34
  4. Step 4: Simplify right side
    1,102.68x = 921,185.23
  5. Step 5: Solve for x
    x = 921,185.23/1,102.68
  6. Step 6: Final answer
    x = 835.41

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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.