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Finding the Fourth Proportional to 488.16, 729.44 and 479.04

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Solution

The fourth proportional to 488.16, 729.44 and 479.04 is: 715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 729.44 = 479.04 : x
  2. Step 2: Convert to fraction form
    488.16/729.44 = 479.04/x
  3. Step 3: Cross multiply
    488.16x = 729.44 × 479.04
  4. Step 4: Simplify right side
    488.16x = 349,430.94
  5. Step 5: Solve for x
    x = 349,430.94/488.16
  6. Step 6: Final answer
    x = 715.81

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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.