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Finding the Fourth Proportional to 654.91, 904.23 and 406.35

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Solution

The fourth proportional to 654.91, 904.23 and 406.35 is: 561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.91 : 904.23 = 406.35 : x
  2. Step 2: Convert to fraction form
    654.91/904.23 = 406.35/x
  3. Step 3: Cross multiply
    654.91x = 904.23 × 406.35
  4. Step 4: Simplify right side
    654.91x = 367,433.86
  5. Step 5: Solve for x
    x = 367,433.86/654.91
  6. Step 6: Final answer
    x = 561.05

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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.