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Finding the Fourth Proportional to 749.51, 1,034.36 and 417.94

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Solution

The fourth proportional to 749.51, 1,034.36 and 417.94 is: 576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.51 : 1,034.36 = 417.94 : x
  2. Step 2: Convert to fraction form
    749.51/1,034.36 = 417.94/x
  3. Step 3: Cross multiply
    749.51x = 1,034.36 × 417.94
  4. Step 4: Simplify right side
    749.51x = 432,300.42
  5. Step 5: Solve for x
    x = 432,300.42/749.51
  6. Step 6: Final answer
    x = 576.78

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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.