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Finding the Fourth Proportional to 655.45, 904.52 and 360.77

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Solution

The fourth proportional to 655.45, 904.52 and 360.77 is: 497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.45 : 904.52 = 360.77 : x
  2. Step 2: Convert to fraction form
    655.45/904.52 = 360.77/x
  3. Step 3: Cross multiply
    655.45x = 904.52 × 360.77
  4. Step 4: Simplify right side
    655.45x = 326,320.06
  5. Step 5: Solve for x
    x = 326,320.06/655.45
  6. Step 6: Final answer
    x = 497.86

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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.