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Finding the Fourth Proportional to 813.89, 1,122.77 and 534

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Solution

The fourth proportional to 813.89, 1,122.77 and 534 is: 736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.89 : 1,122.77 = 534 : x
  2. Step 2: Convert to fraction form
    813.89/1,122.77 = 534/x
  3. Step 3: Cross multiply
    813.89x = 1,122.77 × 534
  4. Step 4: Simplify right side
    813.89x = 599,556.51
  5. Step 5: Solve for x
    x = 599,556.51/813.89
  6. Step 6: Final answer
    x = 736.66

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Double scale
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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.