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Finding the Fourth Proportional to 910.28, 1,363.66 and 476.40

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Solution

The fourth proportional to 910.28, 1,363.66 and 476.40 is: 713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.28 : 1,363.66 = 476.40 : x
  2. Step 2: Convert to fraction form
    910.28/1,363.66 = 476.40/x
  3. Step 3: Cross multiply
    910.28x = 1,363.66 × 476.40
  4. Step 4: Simplify right side
    910.28x = 649,647.62
  5. Step 5: Solve for x
    x = 649,647.62/910.28
  6. Step 6: Final answer
    x = 713.68

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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.