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Finding the Fourth Proportional to 1,094.97, 1,642.90 and 479.04

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Solution

The fourth proportional to 1,094.97, 1,642.90 and 479.04 is: 718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.97 : 1,642.90 = 479.04 : x
  2. Step 2: Convert to fraction form
    1,094.97/1,642.90 = 479.04/x
  3. Step 3: Cross multiply
    1,094.97x = 1,642.90 × 479.04
  4. Step 4: Simplify right side
    1,094.97x = 787,014.82
  5. Step 5: Solve for x
    x = 787,014.82/1,094.97
  6. Step 6: Final answer
    x = 718.75

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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.