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Finding the Fourth Proportional to 655.51, 904.61 and 360.78

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Solution

The fourth proportional to 655.51, 904.61 and 360.78 is: 497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.51 : 904.61 = 360.78 : x
  2. Step 2: Convert to fraction form
    655.51/904.61 = 360.78/x
  3. Step 3: Cross multiply
    655.51x = 904.61 × 360.78
  4. Step 4: Simplify right side
    655.51x = 326,365.20
  5. Step 5: Solve for x
    x = 326,365.20/655.51
  6. Step 6: Final answer
    x = 497.88

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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.