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Finding the Fourth Proportional to 655.57, 904.74 and 360.85

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Solution

The fourth proportional to 655.57, 904.74 and 360.85 is: 498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.57 : 904.74 = 360.85 : x
  2. Step 2: Convert to fraction form
    655.57/904.74 = 360.85/x
  3. Step 3: Cross multiply
    655.57x = 904.74 × 360.85
  4. Step 4: Simplify right side
    655.57x = 326,475.43
  5. Step 5: Solve for x
    x = 326,475.43/655.57
  6. Step 6: Final answer
    x = 498.00

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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.