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Finding the Fourth Proportional to 821.05, 1,133.06 and 526.82

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Solution

The fourth proportional to 821.05, 1,133.06 and 526.82 is: 727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.05 : 1,133.06 = 526.82 : x
  2. Step 2: Convert to fraction form
    821.05/1,133.06 = 526.82/x
  3. Step 3: Cross multiply
    821.05x = 1,133.06 × 526.82
  4. Step 4: Simplify right side
    821.05x = 596,910.37
  5. Step 5: Solve for x
    x = 596,910.37/821.05
  6. Step 6: Final answer
    x = 727.01

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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.