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Finding the Fourth Proportional to 1,204.51, 1,661.74 and 924.25

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Solution

The fourth proportional to 1,204.51, 1,661.74 and 924.25 is: 1,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.51 : 1,661.74 = 924.25 : x
  2. Step 2: Convert to fraction form
    1,204.51/1,661.74 = 924.25/x
  3. Step 3: Cross multiply
    1,204.51x = 1,661.74 × 924.25
  4. Step 4: Simplify right side
    1,204.51x = 1,535,863.20
  5. Step 5: Solve for x
    x = 1,535,863.20/1,204.51
  6. Step 6: Final answer
    x = 1,275.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.