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Finding the Fourth Proportional to 1,604.64, 2,395.40 and 1,484.40

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Solution

The fourth proportional to 1,604.64, 2,395.40 and 1,484.40 is: 2,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.64 : 2,395.40 = 1,484.40 : x
  2. Step 2: Convert to fraction form
    1,604.64/2,395.40 = 1,484.40/x
  3. Step 3: Cross multiply
    1,604.64x = 2,395.40 × 1,484.40
  4. Step 4: Simplify right side
    1,604.64x = 3,555,731.76
  5. Step 5: Solve for x
    x = 3,555,731.76/1,604.64
  6. Step 6: Final answer
    x = 2,215.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.