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Finding the Fourth Proportional to 827.80, 1,242.54 and 553

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Solution

The fourth proportional to 827.80, 1,242.54 and 553 is: 830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,242.54 = 553 : x
  2. Step 2: Convert to fraction form
    827.80/1,242.54 = 553/x
  3. Step 3: Cross multiply
    827.80x = 1,242.54 × 553
  4. Step 4: Simplify right side
    827.80x = 687,124.62
  5. Step 5: Solve for x
    x = 687,124.62/827.80
  6. Step 6: Final answer
    x = 830.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.