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Finding the Fourth Proportional to 1,104.96, 1,524.20 and 690.24

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Solution

The fourth proportional to 1,104.96, 1,524.20 and 690.24 is: 952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.96 : 1,524.20 = 690.24 : x
  2. Step 2: Convert to fraction form
    1,104.96/1,524.20 = 690.24/x
  3. Step 3: Cross multiply
    1,104.96x = 1,524.20 × 690.24
  4. Step 4: Simplify right side
    1,104.96x = 1,052,056.19
  5. Step 5: Solve for x
    x = 1,052,056.19/1,104.96
  6. Step 6: Final answer
    x = 952.13

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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.