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Finding the Fourth Proportional to 2,384.56, 3,577 and 653.36

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Solution

The fourth proportional to 2,384.56, 3,577 and 653.36 is: 980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.56 : 3,577 = 653.36 : x
  2. Step 2: Convert to fraction form
    2,384.56/3,577 = 653.36/x
  3. Step 3: Cross multiply
    2,384.56x = 3,577 × 653.36
  4. Step 4: Simplify right side
    2,384.56x = 2,337,068.72
  5. Step 5: Solve for x
    x = 2,337,068.72/2,384.56
  6. Step 6: Final answer
    x = 980.08

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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.