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Finding the Fourth Proportional to 435.17, 651.47 and 381.17

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Solution

The fourth proportional to 435.17, 651.47 and 381.17 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.17 : 651.47 = 381.17 : x
  2. Step 2: Convert to fraction form
    435.17/651.47 = 381.17/x
  3. Step 3: Cross multiply
    435.17x = 651.47 × 381.17
  4. Step 4: Simplify right side
    435.17x = 248,315.66
  5. Step 5: Solve for x
    x = 248,315.66/435.17
  6. Step 6: Final answer
    x = 570.62

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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.