Home / 1,451.64-2,178.30-586.02

Finding the Fourth Proportional to 1,451.64, 2,178.30 and 586.02

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Solution

The fourth proportional to 1,451.64, 2,178.30 and 586.02 is: 879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.64 : 2,178.30 = 586.02 : x
  2. Step 2: Convert to fraction form
    1,451.64/2,178.30 = 586.02/x
  3. Step 3: Cross multiply
    1,451.64x = 2,178.30 × 586.02
  4. Step 4: Simplify right side
    1,451.64x = 1,276,527.37
  5. Step 5: Solve for x
    x = 1,276,527.37/1,451.64
  6. Step 6: Final answer
    x = 879.37

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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.