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Finding the Fourth Proportional to 1,527.04, 2,289.42 and 758.08

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Solution

The fourth proportional to 1,527.04, 2,289.42 and 758.08 is: 1,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.04 : 2,289.42 = 758.08 : x
  2. Step 2: Convert to fraction form
    1,527.04/2,289.42 = 758.08/x
  3. Step 3: Cross multiply
    1,527.04x = 2,289.42 × 758.08
  4. Step 4: Simplify right side
    1,527.04x = 1,735,563.51
  5. Step 5: Solve for x
    x = 1,735,563.51/1,527.04
  6. Step 6: Final answer
    x = 1,136.55

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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.