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Finding the Fourth Proportional to 948.97, 1,416.83 and 818.83

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Solution

The fourth proportional to 948.97, 1,416.83 and 818.83 is: 1,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.97 : 1,416.83 = 818.83 : x
  2. Step 2: Convert to fraction form
    948.97/1,416.83 = 818.83/x
  3. Step 3: Cross multiply
    948.97x = 1,416.83 × 818.83
  4. Step 4: Simplify right side
    948.97x = 1,160,142.91
  5. Step 5: Solve for x
    x = 1,160,142.91/948.97
  6. Step 6: Final answer
    x = 1,222.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.