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Finding the Fourth Proportional to 654.68, 897.62 and 646.45

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Solution

The fourth proportional to 654.68, 897.62 and 646.45 is: 886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.68 : 897.62 = 646.45 : x
  2. Step 2: Convert to fraction form
    654.68/897.62 = 646.45/x
  3. Step 3: Cross multiply
    654.68x = 897.62 × 646.45
  4. Step 4: Simplify right side
    654.68x = 580,260.97
  5. Step 5: Solve for x
    x = 580,260.97/654.68
  6. Step 6: Final answer
    x = 886.32

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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.