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Finding the Fourth Proportional to 586.70, 809.80 and 387.80

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Solution

The fourth proportional to 586.70, 809.80 and 387.80 is: 535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.70 : 809.80 = 387.80 : x
  2. Step 2: Convert to fraction form
    586.70/809.80 = 387.80/x
  3. Step 3: Cross multiply
    586.70x = 809.80 × 387.80
  4. Step 4: Simplify right side
    586.70x = 314,040.44
  5. Step 5: Solve for x
    x = 314,040.44/586.70
  6. Step 6: Final answer
    x = 535.27

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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.