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Finding the Fourth Proportional to 473.68, 707.36 and 468.60

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Solution

The fourth proportional to 473.68, 707.36 and 468.60 is: 699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.68 : 707.36 = 468.60 : x
  2. Step 2: Convert to fraction form
    473.68/707.36 = 468.60/x
  3. Step 3: Cross multiply
    473.68x = 707.36 × 468.60
  4. Step 4: Simplify right side
    473.68x = 331,468.90
  5. Step 5: Solve for x
    x = 331,468.90/473.68
  6. Step 6: Final answer
    x = 699.77

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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.