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Finding the Fourth Proportional to 508.95, 768.21 and 508.95

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Solution

The fourth proportional to 508.95, 768.21 and 508.95 is: 768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 768.21 = 508.95 : x
  2. Step 2: Convert to fraction form
    508.95/768.21 = 508.95/x
  3. Step 3: Cross multiply
    508.95x = 768.21 × 508.95
  4. Step 4: Simplify right side
    508.95x = 390,980.48
  5. Step 5: Solve for x
    x = 390,980.48/508.95
  6. Step 6: Final answer
    x = 768.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.