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Finding the Fourth Proportional to 528.64, 729.50 and 318.86

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Solution

The fourth proportional to 528.64, 729.50 and 318.86 is: 440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.64 : 729.50 = 318.86 : x
  2. Step 2: Convert to fraction form
    528.64/729.50 = 318.86/x
  3. Step 3: Cross multiply
    528.64x = 729.50 × 318.86
  4. Step 4: Simplify right side
    528.64x = 232,608.37
  5. Step 5: Solve for x
    x = 232,608.37/528.64
  6. Step 6: Final answer
    x = 440.01

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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.