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Finding the Fourth Proportional to 827.01, 1,141.32 and 454.01

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Solution

The fourth proportional to 827.01, 1,141.32 and 454.01 is: 626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.01 : 1,141.32 = 454.01 : x
  2. Step 2: Convert to fraction form
    827.01/1,141.32 = 454.01/x
  3. Step 3: Cross multiply
    827.01x = 1,141.32 × 454.01
  4. Step 4: Simplify right side
    827.01x = 518,166.69
  5. Step 5: Solve for x
    x = 518,166.69/827.01
  6. Step 6: Final answer
    x = 626.55

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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.