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Finding the Fourth Proportional to 622.50, 858.84 and 360.42

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Solution

The fourth proportional to 622.50, 858.84 and 360.42 is: 497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.50 : 858.84 = 360.42 : x
  2. Step 2: Convert to fraction form
    622.50/858.84 = 360.42/x
  3. Step 3: Cross multiply
    622.50x = 858.84 × 360.42
  4. Step 4: Simplify right side
    622.50x = 309,543.11
  5. Step 5: Solve for x
    x = 309,543.11/622.50
  6. Step 6: Final answer
    x = 497.26

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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.