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Finding the Fourth Proportional to 880.60, 1,213.71 and 585.34

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Solution

The fourth proportional to 880.60, 1,213.71 and 585.34 is: 806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.60 : 1,213.71 = 585.34 : x
  2. Step 2: Convert to fraction form
    880.60/1,213.71 = 585.34/x
  3. Step 3: Cross multiply
    880.60x = 1,213.71 × 585.34
  4. Step 4: Simplify right side
    880.60x = 710,433.01
  5. Step 5: Solve for x
    x = 710,433.01/880.60
  6. Step 6: Final answer
    x = 806.76

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Double scale
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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.