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Finding the Fourth Proportional to 655.40, 904.56 and 393.56

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Solution

The fourth proportional to 655.40, 904.56 and 393.56 is: 543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.40 : 904.56 = 393.56 : x
  2. Step 2: Convert to fraction form
    655.40/904.56 = 393.56/x
  3. Step 3: Cross multiply
    655.40x = 904.56 × 393.56
  4. Step 4: Simplify right side
    655.40x = 355,998.63
  5. Step 5: Solve for x
    x = 355,998.63/655.40
  6. Step 6: Final answer
    x = 543.18

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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.