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Finding the Fourth Proportional to 879.79, 1,214.09 and 506.77

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Solution

The fourth proportional to 879.79, 1,214.09 and 506.77 is: 699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.79 : 1,214.09 = 506.77 : x
  2. Step 2: Convert to fraction form
    879.79/1,214.09 = 506.77/x
  3. Step 3: Cross multiply
    879.79x = 1,214.09 × 506.77
  4. Step 4: Simplify right side
    879.79x = 615,259.87
  5. Step 5: Solve for x
    x = 615,259.87/879.79
  6. Step 6: Final answer
    x = 699.33

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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.