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Finding the Fourth Proportional to 655.23, 904.64 and 406.91

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Solution

The fourth proportional to 655.23, 904.64 and 406.91 is: 561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.23 : 904.64 = 406.91 : x
  2. Step 2: Convert to fraction form
    655.23/904.64 = 406.91/x
  3. Step 3: Cross multiply
    655.23x = 904.64 × 406.91
  4. Step 4: Simplify right side
    655.23x = 368,107.06
  5. Step 5: Solve for x
    x = 368,107.06/655.23
  6. Step 6: Final answer
    x = 561.80

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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.