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Finding the Fourth Proportional to 940.14, 1,410.21 and 392.38

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Solution

The fourth proportional to 940.14, 1,410.21 and 392.38 is: 588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.14 : 1,410.21 = 392.38 : x
  2. Step 2: Convert to fraction form
    940.14/1,410.21 = 392.38/x
  3. Step 3: Cross multiply
    940.14x = 1,410.21 × 392.38
  4. Step 4: Simplify right side
    940.14x = 553,334.67
  5. Step 5: Solve for x
    x = 553,334.67/940.14
  6. Step 6: Final answer
    x = 588.57

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1.5x scale

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.