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Finding the Fourth Proportional to 559.17, 840.38 and 469.80

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Solution

The fourth proportional to 559.17, 840.38 and 469.80 is: 706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.17 : 840.38 = 469.80 : x
  2. Step 2: Convert to fraction form
    559.17/840.38 = 469.80/x
  3. Step 3: Cross multiply
    559.17x = 840.38 × 469.80
  4. Step 4: Simplify right side
    559.17x = 394,808.18
  5. Step 5: Solve for x
    x = 394,808.18/559.17
  6. Step 6: Final answer
    x = 706.06

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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.