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Finding the Fourth Proportional to 647.73, 894.38 and 522.99

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Solution

The fourth proportional to 647.73, 894.38 and 522.99 is: 722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.73 : 894.38 = 522.99 : x
  2. Step 2: Convert to fraction form
    647.73/894.38 = 522.99/x
  3. Step 3: Cross multiply
    647.73x = 894.38 × 522.99
  4. Step 4: Simplify right side
    647.73x = 467,749.18
  5. Step 5: Solve for x
    x = 467,749.18/647.73
  6. Step 6: Final answer
    x = 722.14

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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.