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Finding the Fourth Proportional to 890.68, 1,336.54 and 506.20

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Solution

The fourth proportional to 890.68, 1,336.54 and 506.20 is: 759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.68 : 1,336.54 = 506.20 : x
  2. Step 2: Convert to fraction form
    890.68/1,336.54 = 506.20/x
  3. Step 3: Cross multiply
    890.68x = 1,336.54 × 506.20
  4. Step 4: Simplify right side
    890.68x = 676,556.55
  5. Step 5: Solve for x
    x = 676,556.55/890.68
  6. Step 6: Final answer
    x = 759.60

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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.