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Finding the Fourth Proportional to 476.24, 713.36 and 283.76

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Solution

The fourth proportional to 476.24, 713.36 and 283.76 is: 425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.24 : 713.36 = 283.76 : x
  2. Step 2: Convert to fraction form
    476.24/713.36 = 283.76/x
  3. Step 3: Cross multiply
    476.24x = 713.36 × 283.76
  4. Step 4: Simplify right side
    476.24x = 202,423.03
  5. Step 5: Solve for x
    x = 202,423.03/476.24
  6. Step 6: Final answer
    x = 425.04

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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.