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Finding the Fourth Proportional to 508.05, 760.28 and 464.85

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Solution

The fourth proportional to 508.05, 760.28 and 464.85 is: 695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.05 : 760.28 = 464.85 : x
  2. Step 2: Convert to fraction form
    508.05/760.28 = 464.85/x
  3. Step 3: Cross multiply
    508.05x = 760.28 × 464.85
  4. Step 4: Simplify right side
    508.05x = 353,413.83
  5. Step 5: Solve for x
    x = 353,413.83/508.05
  6. Step 6: Final answer
    x = 695.63

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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.