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Finding the Fourth Proportional to 442.13, 661.70 and 432.07

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Solution

The fourth proportional to 442.13, 661.70 and 432.07 is: 646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 661.70 = 432.07 : x
  2. Step 2: Convert to fraction form
    442.13/661.70 = 432.07/x
  3. Step 3: Cross multiply
    442.13x = 661.70 × 432.07
  4. Step 4: Simplify right side
    442.13x = 285,900.14
  5. Step 5: Solve for x
    x = 285,900.14/442.13
  6. Step 6: Final answer
    x = 646.65

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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.