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Finding the Fourth Proportional to 586.40, 809.03 and 387.33

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Solution

The fourth proportional to 586.40, 809.03 and 387.33 is: 534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 809.03 = 387.33 : x
  2. Step 2: Convert to fraction form
    586.40/809.03 = 387.33/x
  3. Step 3: Cross multiply
    586.40x = 809.03 × 387.33
  4. Step 4: Simplify right side
    586.40x = 313,356.58
  5. Step 5: Solve for x
    x = 313,356.58/586.40
  6. Step 6: Final answer
    x = 534.38

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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.