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Finding the Fourth Proportional to 508.61, 764.76 and 468.52

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Solution

The fourth proportional to 508.61, 764.76 and 468.52 is: 704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.61 : 764.76 = 468.52 : x
  2. Step 2: Convert to fraction form
    508.61/764.76 = 468.52/x
  3. Step 3: Cross multiply
    508.61x = 764.76 × 468.52
  4. Step 4: Simplify right side
    508.61x = 358,305.36
  5. Step 5: Solve for x
    x = 358,305.36/508.61
  6. Step 6: Final answer
    x = 704.48

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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.