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Finding the Fourth Proportional to 809.45, 1,117.02 and 477.89

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Solution

The fourth proportional to 809.45, 1,117.02 and 477.89 is: 659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.45 : 1,117.02 = 477.89 : x
  2. Step 2: Convert to fraction form
    809.45/1,117.02 = 477.89/x
  3. Step 3: Cross multiply
    809.45x = 1,117.02 × 477.89
  4. Step 4: Simplify right side
    809.45x = 533,812.69
  5. Step 5: Solve for x
    x = 533,812.69/809.45
  6. Step 6: Final answer
    x = 659.48

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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.