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Finding the Fourth Proportional to 655.84, 904.77 and 406.66

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Solution

The fourth proportional to 655.84, 904.77 and 406.66 is: 561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 904.77 = 406.66 : x
  2. Step 2: Convert to fraction form
    655.84/904.77 = 406.66/x
  3. Step 3: Cross multiply
    655.84x = 904.77 × 406.66
  4. Step 4: Simplify right side
    655.84x = 367,933.77
  5. Step 5: Solve for x
    x = 367,933.77/655.84
  6. Step 6: Final answer
    x = 561.01

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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.