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Finding the Fourth Proportional to 437.25, 602.99 and 313.52

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Solution

The fourth proportional to 437.25, 602.99 and 313.52 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.25 : 602.99 = 313.52 : x
  2. Step 2: Convert to fraction form
    437.25/602.99 = 313.52/x
  3. Step 3: Cross multiply
    437.25x = 602.99 × 313.52
  4. Step 4: Simplify right side
    437.25x = 189,049.42
  5. Step 5: Solve for x
    x = 189,049.42/437.25
  6. Step 6: Final answer
    x = 432.36

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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.