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Finding the Fourth Proportional to 676.23, 933.59 and 443.76

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Solution

The fourth proportional to 676.23, 933.59 and 443.76 is: 612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.23 : 933.59 = 443.76 : x
  2. Step 2: Convert to fraction form
    676.23/933.59 = 443.76/x
  3. Step 3: Cross multiply
    676.23x = 933.59 × 443.76
  4. Step 4: Simplify right side
    676.23x = 414,283.01
  5. Step 5: Solve for x
    x = 414,283.01/676.23
  6. Step 6: Final answer
    x = 612.64

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1.5x scale

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.