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Finding the Fourth Proportional to 456.51, 683.15 and 334.47

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Solution

The fourth proportional to 456.51, 683.15 and 334.47 is: 500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.51 : 683.15 = 334.47 : x
  2. Step 2: Convert to fraction form
    456.51/683.15 = 334.47/x
  3. Step 3: Cross multiply
    456.51x = 683.15 × 334.47
  4. Step 4: Simplify right side
    456.51x = 228,491.51
  5. Step 5: Solve for x
    x = 228,491.51/456.51
  6. Step 6: Final answer
    x = 500.52

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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.