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Finding the Fourth Proportional to 476.70, 715.93 and 285.50

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Solution

The fourth proportional to 476.70, 715.93 and 285.50 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.70 : 715.93 = 285.50 : x
  2. Step 2: Convert to fraction form
    476.70/715.93 = 285.50/x
  3. Step 3: Cross multiply
    476.70x = 715.93 × 285.50
  4. Step 4: Simplify right side
    476.70x = 204,398.02
  5. Step 5: Solve for x
    x = 204,398.02/476.70
  6. Step 6: Final answer
    x = 428.78

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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.