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Finding the Fourth Proportional to 1,162.84, 1,742.22 and 613.72

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Solution

The fourth proportional to 1,162.84, 1,742.22 and 613.72 is: 919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.84 : 1,742.22 = 613.72 : x
  2. Step 2: Convert to fraction form
    1,162.84/1,742.22 = 613.72/x
  3. Step 3: Cross multiply
    1,162.84x = 1,742.22 × 613.72
  4. Step 4: Simplify right side
    1,162.84x = 1,069,235.26
  5. Step 5: Solve for x
    x = 1,069,235.26/1,162.84
  6. Step 6: Final answer
    x = 919.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.