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Finding the Fourth Proportional to 476.76, 715.16 and 284.25

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Solution

The fourth proportional to 476.76, 715.16 and 284.25 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 715.16 = 284.25 : x
  2. Step 2: Convert to fraction form
    476.76/715.16 = 284.25/x
  3. Step 3: Cross multiply
    476.76x = 715.16 × 284.25
  4. Step 4: Simplify right side
    476.76x = 203,282.81
  5. Step 5: Solve for x
    x = 203,282.81/476.76
  6. Step 6: Final answer
    x = 426.38

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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.