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Finding the Fourth Proportional to 1,527.19, 2,290.78 and 501.19

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Solution

The fourth proportional to 1,527.19, 2,290.78 and 501.19 is: 751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.19 : 2,290.78 = 501.19 : x
  2. Step 2: Convert to fraction form
    1,527.19/2,290.78 = 501.19/x
  3. Step 3: Cross multiply
    1,527.19x = 2,290.78 × 501.19
  4. Step 4: Simplify right side
    1,527.19x = 1,148,110.93
  5. Step 5: Solve for x
    x = 1,148,110.93/1,527.19
  6. Step 6: Final answer
    x = 751.78

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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.