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Finding the Fourth Proportional to 508.46, 761.47 and 334.58

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Solution

The fourth proportional to 508.46, 761.47 and 334.58 is: 501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.46 : 761.47 = 334.58 : x
  2. Step 2: Convert to fraction form
    508.46/761.47 = 334.58/x
  3. Step 3: Cross multiply
    508.46x = 761.47 × 334.58
  4. Step 4: Simplify right side
    508.46x = 254,767.99
  5. Step 5: Solve for x
    x = 254,767.99/508.46
  6. Step 6: Final answer
    x = 501.06

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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.