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Finding the Fourth Proportional to 827.53, 1,141.95 and 491.45

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Solution

The fourth proportional to 827.53, 1,141.95 and 491.45 is: 678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.53 : 1,141.95 = 491.45 : x
  2. Step 2: Convert to fraction form
    827.53/1,141.95 = 491.45/x
  3. Step 3: Cross multiply
    827.53x = 1,141.95 × 491.45
  4. Step 4: Simplify right side
    827.53x = 561,211.33
  5. Step 5: Solve for x
    x = 561,211.33/827.53
  6. Step 6: Final answer
    x = 678.18

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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.