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Finding the Fourth Proportional to 940.64, 1,411.27 and 420.99

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Solution

The fourth proportional to 940.64, 1,411.27 and 420.99 is: 631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.64 : 1,411.27 = 420.99 : x
  2. Step 2: Convert to fraction form
    940.64/1,411.27 = 420.99/x
  3. Step 3: Cross multiply
    940.64x = 1,411.27 × 420.99
  4. Step 4: Simplify right side
    940.64x = 594,124.21
  5. Step 5: Solve for x
    x = 594,124.21/940.64
  6. Step 6: Final answer
    x = 631.62

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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.