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Finding the Fourth Proportional to 655.46, 904.67 and 406.94

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Solution

The fourth proportional to 655.46, 904.67 and 406.94 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.46 : 904.67 = 406.94 : x
  2. Step 2: Convert to fraction form
    655.46/904.67 = 406.94/x
  3. Step 3: Cross multiply
    655.46x = 904.67 × 406.94
  4. Step 4: Simplify right side
    655.46x = 368,146.47
  5. Step 5: Solve for x
    x = 368,146.47/655.46
  6. Step 6: Final answer
    x = 561.66

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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.