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Finding the Fourth Proportional to 586.68, 809.94 and 400.45

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Solution

The fourth proportional to 586.68, 809.94 and 400.45 is: 552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.68 : 809.94 = 400.45 : x
  2. Step 2: Convert to fraction form
    586.68/809.94 = 400.45/x
  3. Step 3: Cross multiply
    586.68x = 809.94 × 400.45
  4. Step 4: Simplify right side
    586.68x = 324,336.42
  5. Step 5: Solve for x
    x = 324,336.42/586.68
  6. Step 6: Final answer
    x = 552.83

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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.