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Finding the Fourth Proportional to 821, 1,132.94 and 466.91

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Solution

The fourth proportional to 821, 1,132.94 and 466.91 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    821 : 1,132.94 = 466.91 : x
  2. Step 2: Convert to fraction form
    821/1,132.94 = 466.91/x
  3. Step 3: Cross multiply
    821x = 1,132.94 × 466.91
  4. Step 4: Simplify right side
    821x = 528,981.02
  5. Step 5: Solve for x
    x = 528,981.02/821
  6. Step 6: Final answer
    x = 644.31

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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.