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Finding the Fourth Proportional to 822.91, 1,239.15 and 593.38

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Solution

The fourth proportional to 822.91, 1,239.15 and 593.38 is: 893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.91 : 1,239.15 = 593.38 : x
  2. Step 2: Convert to fraction form
    822.91/1,239.15 = 593.38/x
  3. Step 3: Cross multiply
    822.91x = 1,239.15 × 593.38
  4. Step 4: Simplify right side
    822.91x = 735,280.29
  5. Step 5: Solve for x
    x = 735,280.29/822.91
  6. Step 6: Final answer
    x = 893.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.