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Finding the Fourth Proportional to 1,017.63, 1,518.65 and 908.28

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Solution

The fourth proportional to 1,017.63, 1,518.65 and 908.28 is: 1,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.63 : 1,518.65 = 908.28 : x
  2. Step 2: Convert to fraction form
    1,017.63/1,518.65 = 908.28/x
  3. Step 3: Cross multiply
    1,017.63x = 1,518.65 × 908.28
  4. Step 4: Simplify right side
    1,017.63x = 1,379,354.88
  5. Step 5: Solve for x
    x = 1,379,354.88/1,017.63
  6. Step 6: Final answer
    x = 1,355.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.