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Finding the Fourth Proportional to 646.95, 889.44 and 643.05

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Solution

The fourth proportional to 646.95, 889.44 and 643.05 is: 884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.95 : 889.44 = 643.05 : x
  2. Step 2: Convert to fraction form
    646.95/889.44 = 643.05/x
  3. Step 3: Cross multiply
    646.95x = 889.44 × 643.05
  4. Step 4: Simplify right side
    646.95x = 571,954.39
  5. Step 5: Solve for x
    x = 571,954.39/646.95
  6. Step 6: Final answer
    x = 884.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.