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Finding the Fourth Proportional to 1,017.50, 1,403.60 and 685.36

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Solution

The fourth proportional to 1,017.50, 1,403.60 and 685.36 is: 945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.50 : 1,403.60 = 685.36 : x
  2. Step 2: Convert to fraction form
    1,017.50/1,403.60 = 685.36/x
  3. Step 3: Cross multiply
    1,017.50x = 1,403.60 × 685.36
  4. Step 4: Simplify right side
    1,017.50x = 961,971.30
  5. Step 5: Solve for x
    x = 961,971.30/1,017.50
  6. Step 6: Final answer
    x = 945.43

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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.