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Finding the Fourth Proportional to 668.72, 1,004.04 and 524.96

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Solution

The fourth proportional to 668.72, 1,004.04 and 524.96 is: 788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.72 : 1,004.04 = 524.96 : x
  2. Step 2: Convert to fraction form
    668.72/1,004.04 = 524.96/x
  3. Step 3: Cross multiply
    668.72x = 1,004.04 × 524.96
  4. Step 4: Simplify right side
    668.72x = 527,080.84
  5. Step 5: Solve for x
    x = 527,080.84/668.72
  6. Step 6: Final answer
    x = 788.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.