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Finding the Fourth Proportional to 1,156.54, 1,734.09 and 643.90

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Solution

The fourth proportional to 1,156.54, 1,734.09 and 643.90 is: 965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.54 : 1,734.09 = 643.90 : x
  2. Step 2: Convert to fraction form
    1,156.54/1,734.09 = 643.90/x
  3. Step 3: Cross multiply
    1,156.54x = 1,734.09 × 643.90
  4. Step 4: Simplify right side
    1,156.54x = 1,116,580.55
  5. Step 5: Solve for x
    x = 1,116,580.55/1,156.54
  6. Step 6: Final answer
    x = 965.45

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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.