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Finding the Fourth Proportional to 817.76, 1,225.20 and 508.88

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Solution

The fourth proportional to 817.76, 1,225.20 and 508.88 is: 762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.76 : 1,225.20 = 508.88 : x
  2. Step 2: Convert to fraction form
    817.76/1,225.20 = 508.88/x
  3. Step 3: Cross multiply
    817.76x = 1,225.20 × 508.88
  4. Step 4: Simplify right side
    817.76x = 623,479.78
  5. Step 5: Solve for x
    x = 623,479.78/817.76
  6. Step 6: Final answer
    x = 762.42

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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.