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Finding the Fourth Proportional to 814.69, 1,124.22 and 478.54

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Solution

The fourth proportional to 814.69, 1,124.22 and 478.54 is: 660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.69 : 1,124.22 = 478.54 : x
  2. Step 2: Convert to fraction form
    814.69/1,124.22 = 478.54/x
  3. Step 3: Cross multiply
    814.69x = 1,124.22 × 478.54
  4. Step 4: Simplify right side
    814.69x = 537,984.24
  5. Step 5: Solve for x
    x = 537,984.24/814.69
  6. Step 6: Final answer
    x = 660.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.