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Finding the Fourth Proportional to 488.64, 730.19 and 477.71

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Solution

The fourth proportional to 488.64, 730.19 and 477.71 is: 713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 730.19 = 477.71 : x
  2. Step 2: Convert to fraction form
    488.64/730.19 = 477.71/x
  3. Step 3: Cross multiply
    488.64x = 730.19 × 477.71
  4. Step 4: Simplify right side
    488.64x = 348,813.03
  5. Step 5: Solve for x
    x = 348,813.03/488.64
  6. Step 6: Final answer
    x = 713.84

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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.