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Finding the Fourth Proportional to 637.16, 879.64 and 427.70

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Solution

The fourth proportional to 637.16, 879.64 and 427.70 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.16 : 879.64 = 427.70 : x
  2. Step 2: Convert to fraction form
    637.16/879.64 = 427.70/x
  3. Step 3: Cross multiply
    637.16x = 879.64 × 427.70
  4. Step 4: Simplify right side
    637.16x = 376,223.16
  5. Step 5: Solve for x
    x = 376,223.16/637.16
  6. Step 6: Final answer
    x = 590.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.