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Finding the Fourth Proportional to 620.34, 856.07 and 368.28

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Solution

The fourth proportional to 620.34, 856.07 and 368.28 is: 508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.34 : 856.07 = 368.28 : x
  2. Step 2: Convert to fraction form
    620.34/856.07 = 368.28/x
  3. Step 3: Cross multiply
    620.34x = 856.07 × 368.28
  4. Step 4: Simplify right side
    620.34x = 315,271.62
  5. Step 5: Solve for x
    x = 315,271.62/620.34
  6. Step 6: Final answer
    x = 508.22

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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.