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Finding the Fourth Proportional to 1,574.36, 2,361.26 and 478.98

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Solution

The fourth proportional to 1,574.36, 2,361.26 and 478.98 is: 718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.36 : 2,361.26 = 478.98 : x
  2. Step 2: Convert to fraction form
    1,574.36/2,361.26 = 478.98/x
  3. Step 3: Cross multiply
    1,574.36x = 2,361.26 × 478.98
  4. Step 4: Simplify right side
    1,574.36x = 1,130,996.31
  5. Step 5: Solve for x
    x = 1,130,996.31/1,574.36
  6. Step 6: Final answer
    x = 718.38

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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.