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Finding the Fourth Proportional to 903.69, 1,353.06 and 657.18

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Solution

The fourth proportional to 903.69, 1,353.06 and 657.18 is: 983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,353.06 = 657.18 : x
  2. Step 2: Convert to fraction form
    903.69/1,353.06 = 657.18/x
  3. Step 3: Cross multiply
    903.69x = 1,353.06 × 657.18
  4. Step 4: Simplify right side
    903.69x = 889,203.97
  5. Step 5: Solve for x
    x = 889,203.97/903.69
  6. Step 6: Final answer
    x = 983.97

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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.