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Finding the Fourth Proportional to 821.41, 1,131.97 and 526.16

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Solution

The fourth proportional to 821.41, 1,131.97 and 526.16 is: 725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.41 : 1,131.97 = 526.16 : x
  2. Step 2: Convert to fraction form
    821.41/1,131.97 = 526.16/x
  3. Step 3: Cross multiply
    821.41x = 1,131.97 × 526.16
  4. Step 4: Simplify right side
    821.41x = 595,597.34
  5. Step 5: Solve for x
    x = 595,597.34/821.41
  6. Step 6: Final answer
    x = 725.09

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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.