Home / 1,466.40-2,199.50-541.79

Finding the Fourth Proportional to 1,466.40, 2,199.50 and 541.79

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Solution

The fourth proportional to 1,466.40, 2,199.50 and 541.79 is: 812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.40 : 2,199.50 = 541.79 : x
  2. Step 2: Convert to fraction form
    1,466.40/2,199.50 = 541.79/x
  3. Step 3: Cross multiply
    1,466.40x = 2,199.50 × 541.79
  4. Step 4: Simplify right side
    1,466.40x = 1,191,653.40
  5. Step 5: Solve for x
    x = 1,191,653.40/1,466.40
  6. Step 6: Final answer
    x = 812.64

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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.