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Finding the Fourth Proportional to 655.41, 904.33 and 406.74

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Solution

The fourth proportional to 655.41, 904.33 and 406.74 is: 561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.41 : 904.33 = 406.74 : x
  2. Step 2: Convert to fraction form
    655.41/904.33 = 406.74/x
  3. Step 3: Cross multiply
    655.41x = 904.33 × 406.74
  4. Step 4: Simplify right side
    655.41x = 367,827.18
  5. Step 5: Solve for x
    x = 367,827.18/655.41
  6. Step 6: Final answer
    x = 561.22

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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.