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Finding the Fourth Proportional to 1,203.51, 1,660.75 and 665.04

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Solution

The fourth proportional to 1,203.51, 1,660.75 and 665.04 is: 917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.51 : 1,660.75 = 665.04 : x
  2. Step 2: Convert to fraction form
    1,203.51/1,660.75 = 665.04/x
  3. Step 3: Cross multiply
    1,203.51x = 1,660.75 × 665.04
  4. Step 4: Simplify right side
    1,203.51x = 1,104,459.47
  5. Step 5: Solve for x
    x = 1,104,459.47/1,203.51
  6. Step 6: Final answer
    x = 917.70

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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.