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Finding the Fourth Proportional to 809.70, 1,117.39 and 455.61

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Solution

The fourth proportional to 809.70, 1,117.39 and 455.61 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.70 : 1,117.39 = 455.61 : x
  2. Step 2: Convert to fraction form
    809.70/1,117.39 = 455.61/x
  3. Step 3: Cross multiply
    809.70x = 1,117.39 × 455.61
  4. Step 4: Simplify right side
    809.70x = 509,092.92
  5. Step 5: Solve for x
    x = 509,092.92/809.70
  6. Step 6: Final answer
    x = 628.74

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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.