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Finding the Fourth Proportional to 660.47, 911.03 and 424.34

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Solution

The fourth proportional to 660.47, 911.03 and 424.34 is: 585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.47 : 911.03 = 424.34 : x
  2. Step 2: Convert to fraction form
    660.47/911.03 = 424.34/x
  3. Step 3: Cross multiply
    660.47x = 911.03 × 424.34
  4. Step 4: Simplify right side
    660.47x = 386,579.79
  5. Step 5: Solve for x
    x = 386,579.79/660.47
  6. Step 6: Final answer
    x = 585.31

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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.