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Finding the Fourth Proportional to 1,026.82, 1,541.16 and 479.32

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Solution

The fourth proportional to 1,026.82, 1,541.16 and 479.32 is: 719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.82 : 1,541.16 = 479.32 : x
  2. Step 2: Convert to fraction form
    1,026.82/1,541.16 = 479.32/x
  3. Step 3: Cross multiply
    1,026.82x = 1,541.16 × 479.32
  4. Step 4: Simplify right side
    1,026.82x = 738,708.81
  5. Step 5: Solve for x
    x = 738,708.81/1,026.82
  6. Step 6: Final answer
    x = 719.41

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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.