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Finding the Fourth Proportional to 684.27, 1,019.30 and 647.01

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Solution

The fourth proportional to 684.27, 1,019.30 and 647.01 is: 963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.27 : 1,019.30 = 647.01 : x
  2. Step 2: Convert to fraction form
    684.27/1,019.30 = 647.01/x
  3. Step 3: Cross multiply
    684.27x = 1,019.30 × 647.01
  4. Step 4: Simplify right side
    684.27x = 659,494.06
  5. Step 5: Solve for x
    x = 659,494.06/684.27
  6. Step 6: Final answer
    x = 963.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.