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Finding the Fourth Proportional to 1,574.34, 2,361.26 and 534.30

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Solution

The fourth proportional to 1,574.34, 2,361.26 and 534.30 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.34 : 2,361.26 = 534.30 : x
  2. Step 2: Convert to fraction form
    1,574.34/2,361.26 = 534.30/x
  3. Step 3: Cross multiply
    1,574.34x = 2,361.26 × 534.30
  4. Step 4: Simplify right side
    1,574.34x = 1,261,621.22
  5. Step 5: Solve for x
    x = 1,261,621.22/1,574.34
  6. Step 6: Final answer
    x = 801.37

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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.