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Finding the Fourth Proportional to 940.24, 1,411.44 and 479.08

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Solution

The fourth proportional to 940.24, 1,411.44 and 479.08 is: 719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.24 : 1,411.44 = 479.08 : x
  2. Step 2: Convert to fraction form
    940.24/1,411.44 = 479.08/x
  3. Step 3: Cross multiply
    940.24x = 1,411.44 × 479.08
  4. Step 4: Simplify right side
    940.24x = 676,192.68
  5. Step 5: Solve for x
    x = 676,192.68/940.24
  6. Step 6: Final answer
    x = 719.17

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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.