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Finding the Fourth Proportional to 476.76, 716.28 and 469.20

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Solution

The fourth proportional to 476.76, 716.28 and 469.20 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 716.28 = 469.20 : x
  2. Step 2: Convert to fraction form
    476.76/716.28 = 469.20/x
  3. Step 3: Cross multiply
    476.76x = 716.28 × 469.20
  4. Step 4: Simplify right side
    476.76x = 336,078.58
  5. Step 5: Solve for x
    x = 336,078.58/476.76
  6. Step 6: Final answer
    x = 704.92

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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.