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Finding the Fourth Proportional to 437.81, 660.56 and 434.16

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Solution

The fourth proportional to 437.81, 660.56 and 434.16 is: 655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 660.56 = 434.16 : x
  2. Step 2: Convert to fraction form
    437.81/660.56 = 434.16/x
  3. Step 3: Cross multiply
    437.81x = 660.56 × 434.16
  4. Step 4: Simplify right side
    437.81x = 286,786.56
  5. Step 5: Solve for x
    x = 286,786.56/437.81
  6. Step 6: Final answer
    x = 655.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.