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Finding the Fourth Proportional to 941.53, 1,417.82 and 821.23

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Solution

The fourth proportional to 941.53, 1,417.82 and 821.23 is: 1,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.53 : 1,417.82 = 821.23 : x
  2. Step 2: Convert to fraction form
    941.53/1,417.82 = 821.23/x
  3. Step 3: Cross multiply
    941.53x = 1,417.82 × 821.23
  4. Step 4: Simplify right side
    941.53x = 1,164,354.27
  5. Step 5: Solve for x
    x = 1,164,354.27/941.53
  6. Step 6: Final answer
    x = 1,236.66

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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.