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Finding the Fourth Proportional to 488.64, 675.63 and 427.14

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Solution

The fourth proportional to 488.64, 675.63 and 427.14 is: 590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 675.63 = 427.14 : x
  2. Step 2: Convert to fraction form
    488.64/675.63 = 427.14/x
  3. Step 3: Cross multiply
    488.64x = 675.63 × 427.14
  4. Step 4: Simplify right side
    488.64x = 288,588.60
  5. Step 5: Solve for x
    x = 288,588.60/488.64
  6. Step 6: Final answer
    x = 590.59

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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.