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Finding the Fourth Proportional to 744.08, 1,026.90 and 412.57

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Solution

The fourth proportional to 744.08, 1,026.90 and 412.57 is: 569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.08 : 1,026.90 = 412.57 : x
  2. Step 2: Convert to fraction form
    744.08/1,026.90 = 412.57/x
  3. Step 3: Cross multiply
    744.08x = 1,026.90 × 412.57
  4. Step 4: Simplify right side
    744.08x = 423,666.07
  5. Step 5: Solve for x
    x = 423,666.07/744.08
  6. Step 6: Final answer
    x = 569.38

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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.