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Finding the Fourth Proportional to 511.42, 706.04 and 360.24

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Solution

The fourth proportional to 511.42, 706.04 and 360.24 is: 497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.42 : 706.04 = 360.24 : x
  2. Step 2: Convert to fraction form
    511.42/706.04 = 360.24/x
  3. Step 3: Cross multiply
    511.42x = 706.04 × 360.24
  4. Step 4: Simplify right side
    511.42x = 254,343.85
  5. Step 5: Solve for x
    x = 254,343.85/511.42
  6. Step 6: Final answer
    x = 497.33

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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.