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Finding the Fourth Proportional to 561.64, 841.52 and 399

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Solution

The fourth proportional to 561.64, 841.52 and 399 is: 597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 841.52 = 399 : x
  2. Step 2: Convert to fraction form
    561.64/841.52 = 399/x
  3. Step 3: Cross multiply
    561.64x = 841.52 × 399
  4. Step 4: Simplify right side
    561.64x = 335,766.48
  5. Step 5: Solve for x
    x = 335,766.48/561.64
  6. Step 6: Final answer
    x = 597.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.