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Finding the Fourth Proportional to 559.63, 837.15 and 472.42

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Solution

The fourth proportional to 559.63, 837.15 and 472.42 is: 706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.63 : 837.15 = 472.42 : x
  2. Step 2: Convert to fraction form
    559.63/837.15 = 472.42/x
  3. Step 3: Cross multiply
    559.63x = 837.15 × 472.42
  4. Step 4: Simplify right side
    559.63x = 395,486.40
  5. Step 5: Solve for x
    x = 395,486.40/559.63
  6. Step 6: Final answer
    x = 706.69

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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.