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Finding the Fourth Proportional to 1,181.88, 1,772.80 and 479.07

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Solution

The fourth proportional to 1,181.88, 1,772.80 and 479.07 is: 718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.88 : 1,772.80 = 479.07 : x
  2. Step 2: Convert to fraction form
    1,181.88/1,772.80 = 479.07/x
  3. Step 3: Cross multiply
    1,181.88x = 1,772.80 × 479.07
  4. Step 4: Simplify right side
    1,181.88x = 849,294.10
  5. Step 5: Solve for x
    x = 849,294.10/1,181.88
  6. Step 6: Final answer
    x = 718.60

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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.