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Finding the Fourth Proportional to 1,339.71, 2,009.64 and 415.32

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Solution

The fourth proportional to 1,339.71, 2,009.64 and 415.32 is: 623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.71 : 2,009.64 = 415.32 : x
  2. Step 2: Convert to fraction form
    1,339.71/2,009.64 = 415.32/x
  3. Step 3: Cross multiply
    1,339.71x = 2,009.64 × 415.32
  4. Step 4: Simplify right side
    1,339.71x = 834,643.68
  5. Step 5: Solve for x
    x = 834,643.68/1,339.71
  6. Step 6: Final answer
    x = 623.00

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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.