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Finding the Fourth Proportional to 1,335.22, 2,001.71 and 925.16

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Solution

The fourth proportional to 1,335.22, 2,001.71 and 925.16 is: 1,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.22 : 2,001.71 = 925.16 : x
  2. Step 2: Convert to fraction form
    1,335.22/2,001.71 = 925.16/x
  3. Step 3: Cross multiply
    1,335.22x = 2,001.71 × 925.16
  4. Step 4: Simplify right side
    1,335.22x = 1,851,894.33
  5. Step 5: Solve for x
    x = 1,851,894.33/1,335.22
  6. Step 6: Final answer
    x = 1,386.96

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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.