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Finding the Fourth Proportional to 813.74, 1,122.89 and 477.68

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Solution

The fourth proportional to 813.74, 1,122.89 and 477.68 is: 659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.74 : 1,122.89 = 477.68 : x
  2. Step 2: Convert to fraction form
    813.74/1,122.89 = 477.68/x
  3. Step 3: Cross multiply
    813.74x = 1,122.89 × 477.68
  4. Step 4: Simplify right side
    813.74x = 536,374.09
  5. Step 5: Solve for x
    x = 536,374.09/813.74
  6. Step 6: Final answer
    x = 659.15

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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.