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Finding the Fourth Proportional to 904.97, 1,356.23 and 671.97

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Solution

The fourth proportional to 904.97, 1,356.23 and 671.97 is: 1,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.97 : 1,356.23 = 671.97 : x
  2. Step 2: Convert to fraction form
    904.97/1,356.23 = 671.97/x
  3. Step 3: Cross multiply
    904.97x = 1,356.23 × 671.97
  4. Step 4: Simplify right side
    904.97x = 911,342.51
  5. Step 5: Solve for x
    x = 911,342.51/904.97
  6. Step 6: Final answer
    x = 1,007.05

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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.