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Finding the Fourth Proportional to 683.83, 944.40 and 524.80

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Solution

The fourth proportional to 683.83, 944.40 and 524.80 is: 724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.83 : 944.40 = 524.80 : x
  2. Step 2: Convert to fraction form
    683.83/944.40 = 524.80/x
  3. Step 3: Cross multiply
    683.83x = 944.40 × 524.80
  4. Step 4: Simplify right side
    683.83x = 495,621.12
  5. Step 5: Solve for x
    x = 495,621.12/683.83
  6. Step 6: Final answer
    x = 724.77

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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.