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Finding the Fourth Proportional to 1,574.86, 2,361.12 and 958.45

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Solution

The fourth proportional to 1,574.86, 2,361.12 and 958.45 is: 1,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.86 : 2,361.12 = 958.45 : x
  2. Step 2: Convert to fraction form
    1,574.86/2,361.12 = 958.45/x
  3. Step 3: Cross multiply
    1,574.86x = 2,361.12 × 958.45
  4. Step 4: Simplify right side
    1,574.86x = 2,263,015.46
  5. Step 5: Solve for x
    x = 2,263,015.46/1,574.86
  6. Step 6: Final answer
    x = 1,436.96

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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.