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Finding the Fourth Proportional to 753.37, 1,039.59 and 417.27

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Solution

The fourth proportional to 753.37, 1,039.59 and 417.27 is: 575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.37 : 1,039.59 = 417.27 : x
  2. Step 2: Convert to fraction form
    753.37/1,039.59 = 417.27/x
  3. Step 3: Cross multiply
    753.37x = 1,039.59 × 417.27
  4. Step 4: Simplify right side
    753.37x = 433,788.29
  5. Step 5: Solve for x
    x = 433,788.29/753.37
  6. Step 6: Final answer
    x = 575.80

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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.