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Finding the Fourth Proportional to 685.93, 1,022.37 and 647.01

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Solution

The fourth proportional to 685.93, 1,022.37 and 647.01 is: 964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.93 : 1,022.37 = 647.01 : x
  2. Step 2: Convert to fraction form
    685.93/1,022.37 = 647.01/x
  3. Step 3: Cross multiply
    685.93x = 1,022.37 × 647.01
  4. Step 4: Simplify right side
    685.93x = 661,483.61
  5. Step 5: Solve for x
    x = 661,483.61/685.93
  6. Step 6: Final answer
    x = 964.36

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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.