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Finding the Fourth Proportional to 655.67, 904.78 and 360.93

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Solution

The fourth proportional to 655.67, 904.78 and 360.93 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.67 : 904.78 = 360.93 : x
  2. Step 2: Convert to fraction form
    655.67/904.78 = 360.93/x
  3. Step 3: Cross multiply
    655.67x = 904.78 × 360.93
  4. Step 4: Simplify right side
    655.67x = 326,562.25
  5. Step 5: Solve for x
    x = 326,562.25/655.67
  6. Step 6: Final answer
    x = 498.06

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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.