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Finding the Fourth Proportional to 1,409.00, 2,113.56 and 864.68

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Solution

The fourth proportional to 1,409.00, 2,113.56 and 864.68 is: 1,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.00 : 2,113.56 = 864.68 : x
  2. Step 2: Convert to fraction form
    1,409.00/2,113.56 = 864.68/x
  3. Step 3: Cross multiply
    1,409.00x = 2,113.56 × 864.68
  4. Step 4: Simplify right side
    1,409.00x = 1,827,542.49
  5. Step 5: Solve for x
    x = 1,827,542.49/1,409.00
  6. Step 6: Final answer
    x = 1,297.05

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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.