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Finding the Fourth Proportional to 648.13, 972.38 and 359.77

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Solution

The fourth proportional to 648.13, 972.38 and 359.77 is: 539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.13 : 972.38 = 359.77 : x
  2. Step 2: Convert to fraction form
    648.13/972.38 = 359.77/x
  3. Step 3: Cross multiply
    648.13x = 972.38 × 359.77
  4. Step 4: Simplify right side
    648.13x = 349,831.35
  5. Step 5: Solve for x
    x = 349,831.35/648.13
  6. Step 6: Final answer
    x = 539.75

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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.