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Finding the Fourth Proportional to 488.90, 729.47 and 477.84

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Solution

The fourth proportional to 488.90, 729.47 and 477.84 is: 712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.90 : 729.47 = 477.84 : x
  2. Step 2: Convert to fraction form
    488.90/729.47 = 477.84/x
  3. Step 3: Cross multiply
    488.90x = 729.47 × 477.84
  4. Step 4: Simplify right side
    488.90x = 348,569.94
  5. Step 5: Solve for x
    x = 348,569.94/488.90
  6. Step 6: Final answer
    x = 712.97

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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.