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Finding the Fourth Proportional to 468.16, 699.71 and 409.14

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Solution

The fourth proportional to 468.16, 699.71 and 409.14 is: 611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 699.71 = 409.14 : x
  2. Step 2: Convert to fraction form
    468.16/699.71 = 409.14/x
  3. Step 3: Cross multiply
    468.16x = 699.71 × 409.14
  4. Step 4: Simplify right side
    468.16x = 286,279.35
  5. Step 5: Solve for x
    x = 286,279.35/468.16
  6. Step 6: Final answer
    x = 611.50

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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.