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Finding the Fourth Proportional to 476.34, 713.55 and 283.38

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Solution

The fourth proportional to 476.34, 713.55 and 283.38 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.34 : 713.55 = 283.38 : x
  2. Step 2: Convert to fraction form
    476.34/713.55 = 283.38/x
  3. Step 3: Cross multiply
    476.34x = 713.55 × 283.38
  4. Step 4: Simplify right side
    476.34x = 202,205.80
  5. Step 5: Solve for x
    x = 202,205.80/476.34
  6. Step 6: Final answer
    x = 424.50

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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.