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Finding the Fourth Proportional to 559.90, 840.57 and 438.58

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Solution

The fourth proportional to 559.90, 840.57 and 438.58 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.90 : 840.57 = 438.58 : x
  2. Step 2: Convert to fraction form
    559.90/840.57 = 438.58/x
  3. Step 3: Cross multiply
    559.90x = 840.57 × 438.58
  4. Step 4: Simplify right side
    559.90x = 368,657.19
  5. Step 5: Solve for x
    x = 368,657.19/559.90
  6. Step 6: Final answer
    x = 658.43

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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.