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Finding the Fourth Proportional to 1,574.20, 2,361.04 and 463.36

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Solution

The fourth proportional to 1,574.20, 2,361.04 and 463.36 is: 694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.20 : 2,361.04 = 463.36 : x
  2. Step 2: Convert to fraction form
    1,574.20/2,361.04 = 463.36/x
  3. Step 3: Cross multiply
    1,574.20x = 2,361.04 × 463.36
  4. Step 4: Simplify right side
    1,574.20x = 1,094,011.49
  5. Step 5: Solve for x
    x = 1,094,011.49/1,574.20
  6. Step 6: Final answer
    x = 694.96

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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.