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Finding the Fourth Proportional to 744.10, 1,124.13 and 744.10

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Solution

The fourth proportional to 744.10, 1,124.13 and 744.10 is: 1,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.10 : 1,124.13 = 744.10 : x
  2. Step 2: Convert to fraction form
    744.10/1,124.13 = 744.10/x
  3. Step 3: Cross multiply
    744.10x = 1,124.13 × 744.10
  4. Step 4: Simplify right side
    744.10x = 836,465.13
  5. Step 5: Solve for x
    x = 836,465.13/744.10
  6. Step 6: Final answer
    x = 1,124.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.