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Finding the Fourth Proportional to 1,019.19, 1,527.55 and 471.22

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Solution

The fourth proportional to 1,019.19, 1,527.55 and 471.22 is: 706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.19 : 1,527.55 = 471.22 : x
  2. Step 2: Convert to fraction form
    1,019.19/1,527.55 = 471.22/x
  3. Step 3: Cross multiply
    1,019.19x = 1,527.55 × 471.22
  4. Step 4: Simplify right side
    1,019.19x = 719,812.11
  5. Step 5: Solve for x
    x = 719,812.11/1,019.19
  6. Step 6: Final answer
    x = 706.26

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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.