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Finding the Fourth Proportional to 559.18, 840.44 and 377.74

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Solution

The fourth proportional to 559.18, 840.44 and 377.74 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.18 : 840.44 = 377.74 : x
  2. Step 2: Convert to fraction form
    559.18/840.44 = 377.74/x
  3. Step 3: Cross multiply
    559.18x = 840.44 × 377.74
  4. Step 4: Simplify right side
    559.18x = 317,467.81
  5. Step 5: Solve for x
    x = 317,467.81/559.18
  6. Step 6: Final answer
    x = 567.74

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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.