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Finding the Fourth Proportional to 654.78, 904.03 and 515.46

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Solution

The fourth proportional to 654.78, 904.03 and 515.46 is: 711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.78 : 904.03 = 515.46 : x
  2. Step 2: Convert to fraction form
    654.78/904.03 = 515.46/x
  3. Step 3: Cross multiply
    654.78x = 904.03 × 515.46
  4. Step 4: Simplify right side
    654.78x = 465,991.30
  5. Step 5: Solve for x
    x = 465,991.30/654.78
  6. Step 6: Final answer
    x = 711.68

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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.