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Finding the Fourth Proportional to 561.53, 839.20 and 415.59

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Solution

The fourth proportional to 561.53, 839.20 and 415.59 is: 621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.53 : 839.20 = 415.59 : x
  2. Step 2: Convert to fraction form
    561.53/839.20 = 415.59/x
  3. Step 3: Cross multiply
    561.53x = 839.20 × 415.59
  4. Step 4: Simplify right side
    561.53x = 348,763.13
  5. Step 5: Solve for x
    x = 348,763.13/561.53
  6. Step 6: Final answer
    x = 621.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.