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Finding the Fourth Proportional to 1,642.88, 2,267.60 and 1,013.99

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Solution

The fourth proportional to 1,642.88, 2,267.60 and 1,013.99 is: 1,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.88 : 2,267.60 = 1,013.99 : x
  2. Step 2: Convert to fraction form
    1,642.88/2,267.60 = 1,013.99/x
  3. Step 3: Cross multiply
    1,642.88x = 2,267.60 × 1,013.99
  4. Step 4: Simplify right side
    1,642.88x = 2,299,307.32
  5. Step 5: Solve for x
    x = 2,299,307.32/1,642.88
  6. Step 6: Final answer
    x = 1,399.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.