Home / 1,466.40-2,199.56-440.40

Finding the Fourth Proportional to 1,466.40, 2,199.56 and 440.40

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Solution

The fourth proportional to 1,466.40, 2,199.56 and 440.40 is: 660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.40 : 2,199.56 = 440.40 : x
  2. Step 2: Convert to fraction form
    1,466.40/2,199.56 = 440.40/x
  3. Step 3: Cross multiply
    1,466.40x = 2,199.56 × 440.40
  4. Step 4: Simplify right side
    1,466.40x = 968,686.22
  5. Step 5: Solve for x
    x = 968,686.22/1,466.40
  6. Step 6: Final answer
    x = 660.59

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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.