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Finding the Fourth Proportional to 1,116.01, 1,674.11 and 294.28

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Solution

The fourth proportional to 1,116.01, 1,674.11 and 294.28 is: 441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.01 : 1,674.11 = 294.28 : x
  2. Step 2: Convert to fraction form
    1,116.01/1,674.11 = 294.28/x
  3. Step 3: Cross multiply
    1,116.01x = 1,674.11 × 294.28
  4. Step 4: Simplify right side
    1,116.01x = 492,657.09
  5. Step 5: Solve for x
    x = 492,657.09/1,116.01
  6. Step 6: Final answer
    x = 441.45

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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.