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Finding the Fourth Proportional to 637.16, 879.72 and 427.65

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Solution

The fourth proportional to 637.16, 879.72 and 427.65 is: 590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.16 : 879.72 = 427.65 : x
  2. Step 2: Convert to fraction form
    637.16/879.72 = 427.65/x
  3. Step 3: Cross multiply
    637.16x = 879.72 × 427.65
  4. Step 4: Simplify right side
    637.16x = 376,210.12
  5. Step 5: Solve for x
    x = 376,210.12/637.16
  6. Step 6: Final answer
    x = 590.45

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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.