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Finding the Fourth Proportional to 743.53, 1,024.17 and 625.37

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Solution

The fourth proportional to 743.53, 1,024.17 and 625.37 is: 861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.53 : 1,024.17 = 625.37 : x
  2. Step 2: Convert to fraction form
    743.53/1,024.17 = 625.37/x
  3. Step 3: Cross multiply
    743.53x = 1,024.17 × 625.37
  4. Step 4: Simplify right side
    743.53x = 640,485.25
  5. Step 5: Solve for x
    x = 640,485.25/743.53
  6. Step 6: Final answer
    x = 861.41

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1.5x scale

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.