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Finding the Fourth Proportional to 654.84, 904.05 and 406.26

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Solution

The fourth proportional to 654.84, 904.05 and 406.26 is: 560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.84 : 904.05 = 406.26 : x
  2. Step 2: Convert to fraction form
    654.84/904.05 = 406.26/x
  3. Step 3: Cross multiply
    654.84x = 904.05 × 406.26
  4. Step 4: Simplify right side
    654.84x = 367,279.35
  5. Step 5: Solve for x
    x = 367,279.35/654.84
  6. Step 6: Final answer
    x = 560.87

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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.