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Finding the Fourth Proportional to 651.60, 899.20 and 371.88

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Solution

The fourth proportional to 651.60, 899.20 and 371.88 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.60 : 899.20 = 371.88 : x
  2. Step 2: Convert to fraction form
    651.60/899.20 = 371.88/x
  3. Step 3: Cross multiply
    651.60x = 899.20 × 371.88
  4. Step 4: Simplify right side
    651.60x = 334,394.50
  5. Step 5: Solve for x
    x = 334,394.50/651.60
  6. Step 6: Final answer
    x = 513.19

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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.