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Finding the Fourth Proportional to 623.43, 933.81 and 587.07

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Solution

The fourth proportional to 623.43, 933.81 and 587.07 is: 879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.43 : 933.81 = 587.07 : x
  2. Step 2: Convert to fraction form
    623.43/933.81 = 587.07/x
  3. Step 3: Cross multiply
    623.43x = 933.81 × 587.07
  4. Step 4: Simplify right side
    623.43x = 548,211.84
  5. Step 5: Solve for x
    x = 548,211.84/623.43
  6. Step 6: Final answer
    x = 879.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.