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Finding the Fourth Proportional to 646.48, 889.95 and 480.16

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Solution

The fourth proportional to 646.48, 889.95 and 480.16 is: 660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.48 : 889.95 = 480.16 : x
  2. Step 2: Convert to fraction form
    646.48/889.95 = 480.16/x
  3. Step 3: Cross multiply
    646.48x = 889.95 × 480.16
  4. Step 4: Simplify right side
    646.48x = 427,318.39
  5. Step 5: Solve for x
    x = 427,318.39/646.48
  6. Step 6: Final answer
    x = 660.99

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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.