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Finding the Fourth Proportional to 561.42, 841.32 and 399.42

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Solution

The fourth proportional to 561.42, 841.32 and 399.42 is: 598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 841.32 = 399.42 : x
  2. Step 2: Convert to fraction form
    561.42/841.32 = 399.42/x
  3. Step 3: Cross multiply
    561.42x = 841.32 × 399.42
  4. Step 4: Simplify right side
    561.42x = 336,040.03
  5. Step 5: Solve for x
    x = 336,040.03/561.42
  6. Step 6: Final answer
    x = 598.55

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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.