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Finding the Fourth Proportional to 1,171.64, 1,616.80 and 647.56

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Solution

The fourth proportional to 1,171.64, 1,616.80 and 647.56 is: 893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.64 : 1,616.80 = 647.56 : x
  2. Step 2: Convert to fraction form
    1,171.64/1,616.80 = 647.56/x
  3. Step 3: Cross multiply
    1,171.64x = 1,616.80 × 647.56
  4. Step 4: Simplify right side
    1,171.64x = 1,046,975.01
  5. Step 5: Solve for x
    x = 1,046,975.01/1,171.64
  6. Step 6: Final answer
    x = 893.60

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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.