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Finding the Fourth Proportional to 655.07, 903.98 and 360.30

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Solution

The fourth proportional to 655.07, 903.98 and 360.30 is: 497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.07 : 903.98 = 360.30 : x
  2. Step 2: Convert to fraction form
    655.07/903.98 = 360.30/x
  3. Step 3: Cross multiply
    655.07x = 903.98 × 360.30
  4. Step 4: Simplify right side
    655.07x = 325,704.89
  5. Step 5: Solve for x
    x = 325,704.89/655.07
  6. Step 6: Final answer
    x = 497.20

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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.