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Finding the Fourth Proportional to 654.02, 896.70 and 642.33

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Solution

The fourth proportional to 654.02, 896.70 and 642.33 is: 880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 896.70 = 642.33 : x
  2. Step 2: Convert to fraction form
    654.02/896.70 = 642.33/x
  3. Step 3: Cross multiply
    654.02x = 896.70 × 642.33
  4. Step 4: Simplify right side
    654.02x = 575,977.31
  5. Step 5: Solve for x
    x = 575,977.31/654.02
  6. Step 6: Final answer
    x = 880.67

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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.