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Finding the Fourth Proportional to 482.64, 719.68 and 425.08

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Solution

The fourth proportional to 482.64, 719.68 and 425.08 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 719.68 = 425.08 : x
  2. Step 2: Convert to fraction form
    482.64/719.68 = 425.08/x
  3. Step 3: Cross multiply
    482.64x = 719.68 × 425.08
  4. Step 4: Simplify right side
    482.64x = 305,921.57
  5. Step 5: Solve for x
    x = 305,921.57/482.64
  6. Step 6: Final answer
    x = 633.85

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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.