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Finding the Fourth Proportional to 1,339.61, 2,009.07 and 414.72

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Solution

The fourth proportional to 1,339.61, 2,009.07 and 414.72 is: 621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.61 : 2,009.07 = 414.72 : x
  2. Step 2: Convert to fraction form
    1,339.61/2,009.07 = 414.72/x
  3. Step 3: Cross multiply
    1,339.61x = 2,009.07 × 414.72
  4. Step 4: Simplify right side
    1,339.61x = 833,201.51
  5. Step 5: Solve for x
    x = 833,201.51/1,339.61
  6. Step 6: Final answer
    x = 621.98

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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.