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Finding the Fourth Proportional to 586.05, 808.56 and 446.33

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Solution

The fourth proportional to 586.05, 808.56 and 446.33 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.05 : 808.56 = 446.33 : x
  2. Step 2: Convert to fraction form
    586.05/808.56 = 446.33/x
  3. Step 3: Cross multiply
    586.05x = 808.56 × 446.33
  4. Step 4: Simplify right side
    586.05x = 360,880.54
  5. Step 5: Solve for x
    x = 360,880.54/586.05
  6. Step 6: Final answer
    x = 615.78

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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.