Home / 1,184.22-1,634.37-742.14

Finding the Fourth Proportional to 1,184.22, 1,634.37 and 742.14

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Solution

The fourth proportional to 1,184.22, 1,634.37 and 742.14 is: 1,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.22 : 1,634.37 = 742.14 : x
  2. Step 2: Convert to fraction form
    1,184.22/1,634.37 = 742.14/x
  3. Step 3: Cross multiply
    1,184.22x = 1,634.37 × 742.14
  4. Step 4: Simplify right side
    1,184.22x = 1,212,931.35
  5. Step 5: Solve for x
    x = 1,212,931.35/1,184.22
  6. Step 6: Final answer
    x = 1,024.24

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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.