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Finding the Fourth Proportional to 703.52, 978.61 and 690.16

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Solution

The fourth proportional to 703.52, 978.61 and 690.16 is: 960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.52 : 978.61 = 690.16 : x
  2. Step 2: Convert to fraction form
    703.52/978.61 = 690.16/x
  3. Step 3: Cross multiply
    703.52x = 978.61 × 690.16
  4. Step 4: Simplify right side
    703.52x = 675,392.58
  5. Step 5: Solve for x
    x = 675,392.58/703.52
  6. Step 6: Final answer
    x = 960.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.