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Finding the Fourth Proportional to 940.32, 1,410.56 and 478.24

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Solution

The fourth proportional to 940.32, 1,410.56 and 478.24 is: 717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.32 : 1,410.56 = 478.24 : x
  2. Step 2: Convert to fraction form
    940.32/1,410.56 = 478.24/x
  3. Step 3: Cross multiply
    940.32x = 1,410.56 × 478.24
  4. Step 4: Simplify right side
    940.32x = 674,586.21
  5. Step 5: Solve for x
    x = 674,586.21/940.32
  6. Step 6: Final answer
    x = 717.40

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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.