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Finding the Fourth Proportional to 828.41, 1,144.50 and 705.38

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Solution

The fourth proportional to 828.41, 1,144.50 and 705.38 is: 974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.41 : 1,144.50 = 705.38 : x
  2. Step 2: Convert to fraction form
    828.41/1,144.50 = 705.38/x
  3. Step 3: Cross multiply
    828.41x = 1,144.50 × 705.38
  4. Step 4: Simplify right side
    828.41x = 807,307.41
  5. Step 5: Solve for x
    x = 807,307.41/828.41
  6. Step 6: Final answer
    x = 974.53

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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.