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Finding the Fourth Proportional to 1,007.66, 1,504.43 and 945.86

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Solution

The fourth proportional to 1,007.66, 1,504.43 and 945.86 is: 1,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.66 : 1,504.43 = 945.86 : x
  2. Step 2: Convert to fraction form
    1,007.66/1,504.43 = 945.86/x
  3. Step 3: Cross multiply
    1,007.66x = 1,504.43 × 945.86
  4. Step 4: Simplify right side
    1,007.66x = 1,422,971.46
  5. Step 5: Solve for x
    x = 1,422,971.46/1,007.66
  6. Step 6: Final answer
    x = 1,412.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.