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Finding the Fourth Proportional to 1,115.12, 1,679.14 and 974

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Solution

The fourth proportional to 1,115.12, 1,679.14 and 974 is: 1,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.12 : 1,679.14 = 974 : x
  2. Step 2: Convert to fraction form
    1,115.12/1,679.14 = 974/x
  3. Step 3: Cross multiply
    1,115.12x = 1,679.14 × 974
  4. Step 4: Simplify right side
    1,115.12x = 1,635,482.36
  5. Step 5: Solve for x
    x = 1,635,482.36/1,115.12
  6. Step 6: Final answer
    x = 1,466.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.