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Finding the Fourth Proportional to 1,043, 1,439.36 and 577.25

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Solution

The fourth proportional to 1,043, 1,439.36 and 577.25 is: 796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043 : 1,439.36 = 577.25 : x
  2. Step 2: Convert to fraction form
    1,043/1,439.36 = 577.25/x
  3. Step 3: Cross multiply
    1,043x = 1,439.36 × 577.25
  4. Step 4: Simplify right side
    1,043x = 830,870.56
  5. Step 5: Solve for x
    x = 830,870.56/1,043
  6. Step 6: Final answer
    x = 796.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.