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Finding the Fourth Proportional to 507.86, 761.52 and 260.97

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Solution

The fourth proportional to 507.86, 761.52 and 260.97 is: 391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.86 : 761.52 = 260.97 : x
  2. Step 2: Convert to fraction form
    507.86/761.52 = 260.97/x
  3. Step 3: Cross multiply
    507.86x = 761.52 × 260.97
  4. Step 4: Simplify right side
    507.86x = 198,730.07
  5. Step 5: Solve for x
    x = 198,730.07/507.86
  6. Step 6: Final answer
    x = 391.31

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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.