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Finding the Fourth Proportional to 744.42, 1,022.99 and 604.24

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Solution

The fourth proportional to 744.42, 1,022.99 and 604.24 is: 830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.42 : 1,022.99 = 604.24 : x
  2. Step 2: Convert to fraction form
    744.42/1,022.99 = 604.24/x
  3. Step 3: Cross multiply
    744.42x = 1,022.99 × 604.24
  4. Step 4: Simplify right side
    744.42x = 618,131.48
  5. Step 5: Solve for x
    x = 618,131.48/744.42
  6. Step 6: Final answer
    x = 830.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.