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Finding the Fourth Proportional to 1,866.54, 2,799.65 and 479.82

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Solution

The fourth proportional to 1,866.54, 2,799.65 and 479.82 is: 719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.54 : 2,799.65 = 479.82 : x
  2. Step 2: Convert to fraction form
    1,866.54/2,799.65 = 479.82/x
  3. Step 3: Cross multiply
    1,866.54x = 2,799.65 × 479.82
  4. Step 4: Simplify right side
    1,866.54x = 1,343,328.06
  5. Step 5: Solve for x
    x = 1,343,328.06/1,866.54
  6. Step 6: Final answer
    x = 719.69

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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.