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Finding the Fourth Proportional to 654.66, 897.33 and 645.55

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Solution

The fourth proportional to 654.66, 897.33 and 645.55 is: 884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 897.33 = 645.55 : x
  2. Step 2: Convert to fraction form
    654.66/897.33 = 645.55/x
  3. Step 3: Cross multiply
    654.66x = 897.33 × 645.55
  4. Step 4: Simplify right side
    654.66x = 579,271.56
  5. Step 5: Solve for x
    x = 579,271.56/654.66
  6. Step 6: Final answer
    x = 884.84

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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.