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Finding the Fourth Proportional to 528.06, 729.36 and 478.92

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Solution

The fourth proportional to 528.06, 729.36 and 478.92 is: 661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.06 : 729.36 = 478.92 : x
  2. Step 2: Convert to fraction form
    528.06/729.36 = 478.92/x
  3. Step 3: Cross multiply
    528.06x = 729.36 × 478.92
  4. Step 4: Simplify right side
    528.06x = 349,305.09
  5. Step 5: Solve for x
    x = 349,305.09/528.06
  6. Step 6: Final answer
    x = 661.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.