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Finding the Fourth Proportional to 586.74, 809.43 and 350.54

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Solution

The fourth proportional to 586.74, 809.43 and 350.54 is: 483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.74 : 809.43 = 350.54 : x
  2. Step 2: Convert to fraction form
    586.74/809.43 = 350.54/x
  3. Step 3: Cross multiply
    586.74x = 809.43 × 350.54
  4. Step 4: Simplify right side
    586.74x = 283,737.59
  5. Step 5: Solve for x
    x = 283,737.59/586.74
  6. Step 6: Final answer
    x = 483.58

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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.