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Finding the Fourth Proportional to 654.63, 904.11 and 613.94

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Solution

The fourth proportional to 654.63, 904.11 and 613.94 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.63 : 904.11 = 613.94 : x
  2. Step 2: Convert to fraction form
    654.63/904.11 = 613.94/x
  3. Step 3: Cross multiply
    654.63x = 904.11 × 613.94
  4. Step 4: Simplify right side
    654.63x = 555,064.77
  5. Step 5: Solve for x
    x = 555,064.77/654.63
  6. Step 6: Final answer
    x = 847.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.