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Finding the Fourth Proportional to 909.54, 1,365.17 and 477

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Solution

The fourth proportional to 909.54, 1,365.17 and 477 is: 715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.54 : 1,365.17 = 477 : x
  2. Step 2: Convert to fraction form
    909.54/1,365.17 = 477/x
  3. Step 3: Cross multiply
    909.54x = 1,365.17 × 477
  4. Step 4: Simplify right side
    909.54x = 651,183.71
  5. Step 5: Solve for x
    x = 651,183.71/909.54
  6. Step 6: Final answer
    x = 715.95

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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.