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Finding the Fourth Proportional to 1,017.04, 1,403.56 and 668.40

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Solution

The fourth proportional to 1,017.04, 1,403.56 and 668.40 is: 922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.04 : 1,403.56 = 668.40 : x
  2. Step 2: Convert to fraction form
    1,017.04/1,403.56 = 668.40/x
  3. Step 3: Cross multiply
    1,017.04x = 1,403.56 × 668.40
  4. Step 4: Simplify right side
    1,017.04x = 938,139.50
  5. Step 5: Solve for x
    x = 938,139.50/1,017.04
  6. Step 6: Final answer
    x = 922.42

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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.