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Finding the Fourth Proportional to 482.16, 716.76 and 470.16

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Solution

The fourth proportional to 482.16, 716.76 and 470.16 is: 698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 716.76 = 470.16 : x
  2. Step 2: Convert to fraction form
    482.16/716.76 = 470.16/x
  3. Step 3: Cross multiply
    482.16x = 716.76 × 470.16
  4. Step 4: Simplify right side
    482.16x = 336,991.88
  5. Step 5: Solve for x
    x = 336,991.88/482.16
  6. Step 6: Final answer
    x = 698.92

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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.