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Finding the Fourth Proportional to 559.58, 840.32 and 344.53

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Solution

The fourth proportional to 559.58, 840.32 and 344.53 is: 517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.58 : 840.32 = 344.53 : x
  2. Step 2: Convert to fraction form
    559.58/840.32 = 344.53/x
  3. Step 3: Cross multiply
    559.58x = 840.32 × 344.53
  4. Step 4: Simplify right side
    559.58x = 289,515.64
  5. Step 5: Solve for x
    x = 289,515.64/559.58
  6. Step 6: Final answer
    x = 517.38

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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.