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Finding the Fourth Proportional to 940.40, 1,410.90 and 595.88

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Solution

The fourth proportional to 940.40, 1,410.90 and 595.88 is: 894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.40 : 1,410.90 = 595.88 : x
  2. Step 2: Convert to fraction form
    940.40/1,410.90 = 595.88/x
  3. Step 3: Cross multiply
    940.40x = 1,410.90 × 595.88
  4. Step 4: Simplify right side
    940.40x = 840,727.09
  5. Step 5: Solve for x
    x = 840,727.09/940.40
  6. Step 6: Final answer
    x = 894.01

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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.