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Finding the Fourth Proportional to 488.64, 728.01 and 477.72

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Solution

The fourth proportional to 488.64, 728.01 and 477.72 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 728.01 = 477.72 : x
  2. Step 2: Convert to fraction form
    488.64/728.01 = 477.72/x
  3. Step 3: Cross multiply
    488.64x = 728.01 × 477.72
  4. Step 4: Simplify right side
    488.64x = 347,784.94
  5. Step 5: Solve for x
    x = 347,784.94/488.64
  6. Step 6: Final answer
    x = 711.74

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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.