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Finding the Fourth Proportional to 508.63, 763.40 and 335.26

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Solution

The fourth proportional to 508.63, 763.40 and 335.26 is: 503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.63 : 763.40 = 335.26 : x
  2. Step 2: Convert to fraction form
    508.63/763.40 = 335.26/x
  3. Step 3: Cross multiply
    508.63x = 763.40 × 335.26
  4. Step 4: Simplify right side
    508.63x = 255,940.48
  5. Step 5: Solve for x
    x = 255,940.48/508.63
  6. Step 6: Final answer
    x = 503.20

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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.