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Finding the Fourth Proportional to 1,607.77, 2,218.36 and 978.63

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Solution

The fourth proportional to 1,607.77, 2,218.36 and 978.63 is: 1,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.77 : 2,218.36 = 978.63 : x
  2. Step 2: Convert to fraction form
    1,607.77/2,218.36 = 978.63/x
  3. Step 3: Cross multiply
    1,607.77x = 2,218.36 × 978.63
  4. Step 4: Simplify right side
    1,607.77x = 2,170,953.65
  5. Step 5: Solve for x
    x = 2,170,953.65/1,607.77
  6. Step 6: Final answer
    x = 1,350.29

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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.