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Finding the Fourth Proportional to 705.51, 972 and 618.03

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Solution

The fourth proportional to 705.51, 972 and 618.03 is: 851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 972 = 618.03 : x
  2. Step 2: Convert to fraction form
    705.51/972 = 618.03/x
  3. Step 3: Cross multiply
    705.51x = 972 × 618.03
  4. Step 4: Simplify right side
    705.51x = 600,725.16
  5. Step 5: Solve for x
    x = 600,725.16/705.51
  6. Step 6: Final answer
    x = 851.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.