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Finding the Fourth Proportional to 1,017.85, 1,527.87 and 730.57

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Solution

The fourth proportional to 1,017.85, 1,527.87 and 730.57 is: 1,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.85 : 1,527.87 = 730.57 : x
  2. Step 2: Convert to fraction form
    1,017.85/1,527.87 = 730.57/x
  3. Step 3: Cross multiply
    1,017.85x = 1,527.87 × 730.57
  4. Step 4: Simplify right side
    1,017.85x = 1,116,215.99
  5. Step 5: Solve for x
    x = 1,116,215.99/1,017.85
  6. Step 6: Final answer
    x = 1,096.64

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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.