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Finding the Fourth Proportional to 660.48, 911.55 and 395.01

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Solution

The fourth proportional to 660.48, 911.55 and 395.01 is: 545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 911.55 = 395.01 : x
  2. Step 2: Convert to fraction form
    660.48/911.55 = 395.01/x
  3. Step 3: Cross multiply
    660.48x = 911.55 × 395.01
  4. Step 4: Simplify right side
    660.48x = 360,071.37
  5. Step 5: Solve for x
    x = 360,071.37/660.48
  6. Step 6: Final answer
    x = 545.17

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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.