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Finding the Fourth Proportional to 1,009.06, 1,392.09 and 654.89

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Solution

The fourth proportional to 1,009.06, 1,392.09 and 654.89 is: 903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.06 : 1,392.09 = 654.89 : x
  2. Step 2: Convert to fraction form
    1,009.06/1,392.09 = 654.89/x
  3. Step 3: Cross multiply
    1,009.06x = 1,392.09 × 654.89
  4. Step 4: Simplify right side
    1,009.06x = 911,656.40
  5. Step 5: Solve for x
    x = 911,656.40/1,009.06
  6. Step 6: Final answer
    x = 903.47

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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.