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Finding the Fourth Proportional to 1,479.63, 2,041.29 and 920.34

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Solution

The fourth proportional to 1,479.63, 2,041.29 and 920.34 is: 1,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.63 : 2,041.29 = 920.34 : x
  2. Step 2: Convert to fraction form
    1,479.63/2,041.29 = 920.34/x
  3. Step 3: Cross multiply
    1,479.63x = 2,041.29 × 920.34
  4. Step 4: Simplify right side
    1,479.63x = 1,878,680.84
  5. Step 5: Solve for x
    x = 1,878,680.84/1,479.63
  6. Step 6: Final answer
    x = 1,269.70

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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.