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Finding the Fourth Proportional to 944.12, 1,417.38 and 670.34

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Solution

The fourth proportional to 944.12, 1,417.38 and 670.34 is: 1,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.12 : 1,417.38 = 670.34 : x
  2. Step 2: Convert to fraction form
    944.12/1,417.38 = 670.34/x
  3. Step 3: Cross multiply
    944.12x = 1,417.38 × 670.34
  4. Step 4: Simplify right side
    944.12x = 950,126.51
  5. Step 5: Solve for x
    x = 950,126.51/944.12
  6. Step 6: Final answer
    x = 1,006.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.