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Finding the Fourth Proportional to 476.49, 715.14 and 380.91

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Solution

The fourth proportional to 476.49, 715.14 and 380.91 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.49 : 715.14 = 380.91 : x
  2. Step 2: Convert to fraction form
    476.49/715.14 = 380.91/x
  3. Step 3: Cross multiply
    476.49x = 715.14 × 380.91
  4. Step 4: Simplify right side
    476.49x = 272,403.98
  5. Step 5: Solve for x
    x = 272,403.98/476.49
  6. Step 6: Final answer
    x = 571.69

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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.