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Finding the Fourth Proportional to 1,087.64, 1,631.86 and 856.16

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Solution

The fourth proportional to 1,087.64, 1,631.86 and 856.16 is: 1,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.64 : 1,631.86 = 856.16 : x
  2. Step 2: Convert to fraction form
    1,087.64/1,631.86 = 856.16/x
  3. Step 3: Cross multiply
    1,087.64x = 1,631.86 × 856.16
  4. Step 4: Simplify right side
    1,087.64x = 1,397,133.26
  5. Step 5: Solve for x
    x = 1,397,133.26/1,087.64
  6. Step 6: Final answer
    x = 1,284.55

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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.