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Finding the Fourth Proportional to 508.83, 761.61 and 265.02

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Solution

The fourth proportional to 508.83, 761.61 and 265.02 is: 396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.83 : 761.61 = 265.02 : x
  2. Step 2: Convert to fraction form
    508.83/761.61 = 265.02/x
  3. Step 3: Cross multiply
    508.83x = 761.61 × 265.02
  4. Step 4: Simplify right side
    508.83x = 201,841.88
  5. Step 5: Solve for x
    x = 201,841.88/508.83
  6. Step 6: Final answer
    x = 396.68

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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.