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Finding the Fourth Proportional to 705.71, 1,055.59 and 607.43

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Solution

The fourth proportional to 705.71, 1,055.59 and 607.43 is: 908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.71 : 1,055.59 = 607.43 : x
  2. Step 2: Convert to fraction form
    705.71/1,055.59 = 607.43/x
  3. Step 3: Cross multiply
    705.71x = 1,055.59 × 607.43
  4. Step 4: Simplify right side
    705.71x = 641,197.03
  5. Step 5: Solve for x
    x = 641,197.03/705.71
  6. Step 6: Final answer
    x = 908.58

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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.