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Finding the Fourth Proportional to 818.04, 1,224.64 and 508.92

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Solution

The fourth proportional to 818.04, 1,224.64 and 508.92 is: 761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.04 : 1,224.64 = 508.92 : x
  2. Step 2: Convert to fraction form
    818.04/1,224.64 = 508.92/x
  3. Step 3: Cross multiply
    818.04x = 1,224.64 × 508.92
  4. Step 4: Simplify right side
    818.04x = 623,243.79
  5. Step 5: Solve for x
    x = 623,243.79/818.04
  6. Step 6: Final answer
    x = 761.87

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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.