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Finding the Fourth Proportional to 729.60, 1,006.08 and 522.24

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Solution

The fourth proportional to 729.60, 1,006.08 and 522.24 is: 720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.60 : 1,006.08 = 522.24 : x
  2. Step 2: Convert to fraction form
    729.60/1,006.08 = 522.24/x
  3. Step 3: Cross multiply
    729.60x = 1,006.08 × 522.24
  4. Step 4: Simplify right side
    729.60x = 525,415.22
  5. Step 5: Solve for x
    x = 525,415.22/729.60
  6. Step 6: Final answer
    x = 720.14

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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.