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Finding the Fourth Proportional to 1,161.95, 1,602.99 and 984.15

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Solution

The fourth proportional to 1,161.95, 1,602.99 and 984.15 is: 1,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.95 : 1,602.99 = 984.15 : x
  2. Step 2: Convert to fraction form
    1,161.95/1,602.99 = 984.15/x
  3. Step 3: Cross multiply
    1,161.95x = 1,602.99 × 984.15
  4. Step 4: Simplify right side
    1,161.95x = 1,577,582.61
  5. Step 5: Solve for x
    x = 1,577,582.61/1,161.95
  6. Step 6: Final answer
    x = 1,357.71

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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.