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Finding the Fourth Proportional to 1,106.88, 1,657.58 and 643.25

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Solution

The fourth proportional to 1,106.88, 1,657.58 and 643.25 is: 963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.88 : 1,657.58 = 643.25 : x
  2. Step 2: Convert to fraction form
    1,106.88/1,657.58 = 643.25/x
  3. Step 3: Cross multiply
    1,106.88x = 1,657.58 × 643.25
  4. Step 4: Simplify right side
    1,106.88x = 1,066,235.12
  5. Step 5: Solve for x
    x = 1,066,235.12/1,106.88
  6. Step 6: Final answer
    x = 963.28

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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.