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Finding the Fourth Proportional to 931.12, 1,284.96 and 698.56

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Solution

The fourth proportional to 931.12, 1,284.96 and 698.56 is: 964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.12 : 1,284.96 = 698.56 : x
  2. Step 2: Convert to fraction form
    931.12/1,284.96 = 698.56/x
  3. Step 3: Cross multiply
    931.12x = 1,284.96 × 698.56
  4. Step 4: Simplify right side
    931.12x = 897,621.66
  5. Step 5: Solve for x
    x = 897,621.66/931.12
  6. Step 6: Final answer
    x = 964.02

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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.