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Finding the Fourth Proportional to 437.40, 656.33 and 436.03

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Solution

The fourth proportional to 437.40, 656.33 and 436.03 is: 654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 656.33 = 436.03 : x
  2. Step 2: Convert to fraction form
    437.40/656.33 = 436.03/x
  3. Step 3: Cross multiply
    437.40x = 656.33 × 436.03
  4. Step 4: Simplify right side
    437.40x = 286,175.75
  5. Step 5: Solve for x
    x = 286,175.75/437.40
  6. Step 6: Final answer
    x = 654.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.