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Finding the Fourth Proportional to 940.58, 1,412.47 and 612.08

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Solution

The fourth proportional to 940.58, 1,412.47 and 612.08 is: 919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.58 : 1,412.47 = 612.08 : x
  2. Step 2: Convert to fraction form
    940.58/1,412.47 = 612.08/x
  3. Step 3: Cross multiply
    940.58x = 1,412.47 × 612.08
  4. Step 4: Simplify right side
    940.58x = 864,537.58
  5. Step 5: Solve for x
    x = 864,537.58/940.58
  6. Step 6: Final answer
    x = 919.16

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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.