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Finding the Fourth Proportional to 442.78, 659.81 and 430.25

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Solution

The fourth proportional to 442.78, 659.81 and 430.25 is: 641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 659.81 = 430.25 : x
  2. Step 2: Convert to fraction form
    442.78/659.81 = 430.25/x
  3. Step 3: Cross multiply
    442.78x = 659.81 × 430.25
  4. Step 4: Simplify right side
    442.78x = 283,881.03
  5. Step 5: Solve for x
    x = 283,881.03/442.78
  6. Step 6: Final answer
    x = 641.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.