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Finding the Fourth Proportional to 623.54, 861.16 and 485.32

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Solution

The fourth proportional to 623.54, 861.16 and 485.32 is: 670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.54 : 861.16 = 485.32 : x
  2. Step 2: Convert to fraction form
    623.54/861.16 = 485.32/x
  3. Step 3: Cross multiply
    623.54x = 861.16 × 485.32
  4. Step 4: Simplify right side
    623.54x = 417,938.17
  5. Step 5: Solve for x
    x = 417,938.17/623.54
  6. Step 6: Final answer
    x = 670.27

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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.