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Finding the Fourth Proportional to 880.70, 1,211.64 and 856.40

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Solution

The fourth proportional to 880.70, 1,211.64 and 856.40 is: 1,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.70 : 1,211.64 = 856.40 : x
  2. Step 2: Convert to fraction form
    880.70/1,211.64 = 856.40/x
  3. Step 3: Cross multiply
    880.70x = 1,211.64 × 856.40
  4. Step 4: Simplify right side
    880.70x = 1,037,648.50
  5. Step 5: Solve for x
    x = 1,037,648.50/880.70
  6. Step 6: Final answer
    x = 1,178.21

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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.