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Finding the Fourth Proportional to 827.90, 1,142.54 and 454.92

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Solution

The fourth proportional to 827.90, 1,142.54 and 454.92 is: 627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.90 : 1,142.54 = 454.92 : x
  2. Step 2: Convert to fraction form
    827.90/1,142.54 = 454.92/x
  3. Step 3: Cross multiply
    827.90x = 1,142.54 × 454.92
  4. Step 4: Simplify right side
    827.90x = 519,762.66
  5. Step 5: Solve for x
    x = 519,762.66/827.90
  6. Step 6: Final answer
    x = 627.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.