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Finding the Fourth Proportional to 987.72, 1,362.32 and 856.50

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Solution

The fourth proportional to 987.72, 1,362.32 and 856.50 is: 1,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.72 : 1,362.32 = 856.50 : x
  2. Step 2: Convert to fraction form
    987.72/1,362.32 = 856.50/x
  3. Step 3: Cross multiply
    987.72x = 1,362.32 × 856.50
  4. Step 4: Simplify right side
    987.72x = 1,166,827.08
  5. Step 5: Solve for x
    x = 1,166,827.08/987.72
  6. Step 6: Final answer
    x = 1,181.33

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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.