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Finding the Fourth Proportional to 435.48, 650.73 and 319.14

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Solution

The fourth proportional to 435.48, 650.73 and 319.14 is: 476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 650.73 = 319.14 : x
  2. Step 2: Convert to fraction form
    435.48/650.73 = 319.14/x
  3. Step 3: Cross multiply
    435.48x = 650.73 × 319.14
  4. Step 4: Simplify right side
    435.48x = 207,675.17
  5. Step 5: Solve for x
    x = 207,675.17/435.48
  6. Step 6: Final answer
    x = 476.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.