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Finding the Fourth Proportional to 1,739.27, 2,607.32 and 643.35

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Solution

The fourth proportional to 1,739.27, 2,607.32 and 643.35 is: 964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.27 : 2,607.32 = 643.35 : x
  2. Step 2: Convert to fraction form
    1,739.27/2,607.32 = 643.35/x
  3. Step 3: Cross multiply
    1,739.27x = 2,607.32 × 643.35
  4. Step 4: Simplify right side
    1,739.27x = 1,677,416.11
  5. Step 5: Solve for x
    x = 1,677,416.11/1,739.27
  6. Step 6: Final answer
    x = 964.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.