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Finding the Fourth Proportional to 655.16, 904.12 and 360.44

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Solution

The fourth proportional to 655.16, 904.12 and 360.44 is: 497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.16 : 904.12 = 360.44 : x
  2. Step 2: Convert to fraction form
    655.16/904.12 = 360.44/x
  3. Step 3: Cross multiply
    655.16x = 904.12 × 360.44
  4. Step 4: Simplify right side
    655.16x = 325,881.01
  5. Step 5: Solve for x
    x = 325,881.01/655.16
  6. Step 6: Final answer
    x = 497.41

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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.