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Finding the Fourth Proportional to 1,129.80, 1,693.34 and 643.16

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Solution

The fourth proportional to 1,129.80, 1,693.34 and 643.16 is: 963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.80 : 1,693.34 = 643.16 : x
  2. Step 2: Convert to fraction form
    1,129.80/1,693.34 = 643.16/x
  3. Step 3: Cross multiply
    1,129.80x = 1,693.34 × 643.16
  4. Step 4: Simplify right side
    1,129.80x = 1,089,088.55
  5. Step 5: Solve for x
    x = 1,089,088.55/1,129.80
  6. Step 6: Final answer
    x = 963.97

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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.