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Finding the Fourth Proportional to 655.88, 905.16 and 407.21

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Solution

The fourth proportional to 655.88, 905.16 and 407.21 is: 561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.88 : 905.16 = 407.21 : x
  2. Step 2: Convert to fraction form
    655.88/905.16 = 407.21/x
  3. Step 3: Cross multiply
    655.88x = 905.16 × 407.21
  4. Step 4: Simplify right side
    655.88x = 368,590.20
  5. Step 5: Solve for x
    x = 368,590.20/655.88
  6. Step 6: Final answer
    x = 561.98

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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.