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Finding the Fourth Proportional to 744.25, 1,025.45 and 522.58

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Solution

The fourth proportional to 744.25, 1,025.45 and 522.58 is: 720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.25 : 1,025.45 = 522.58 : x
  2. Step 2: Convert to fraction form
    744.25/1,025.45 = 522.58/x
  3. Step 3: Cross multiply
    744.25x = 1,025.45 × 522.58
  4. Step 4: Simplify right side
    744.25x = 535,877.05
  5. Step 5: Solve for x
    x = 535,877.05/744.25
  6. Step 6: Final answer
    x = 720.02

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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.