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Finding the Fourth Proportional to 1,171.35, 1,616.40 and 647.37

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Solution

The fourth proportional to 1,171.35, 1,616.40 and 647.37 is: 893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.35 : 1,616.40 = 647.37 : x
  2. Step 2: Convert to fraction form
    1,171.35/1,616.40 = 647.37/x
  3. Step 3: Cross multiply
    1,171.35x = 1,616.40 × 647.37
  4. Step 4: Simplify right side
    1,171.35x = 1,046,408.87
  5. Step 5: Solve for x
    x = 1,046,408.87/1,171.35
  6. Step 6: Final answer
    x = 893.34

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1.5x scale

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.