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Finding the Fourth Proportional to 597.81, 890.84 and 578.23

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Solution

The fourth proportional to 597.81, 890.84 and 578.23 is: 861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.81 : 890.84 = 578.23 : x
  2. Step 2: Convert to fraction form
    597.81/890.84 = 578.23/x
  3. Step 3: Cross multiply
    597.81x = 890.84 × 578.23
  4. Step 4: Simplify right side
    597.81x = 515,108.97
  5. Step 5: Solve for x
    x = 515,108.97/597.81
  6. Step 6: Final answer
    x = 861.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.