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Finding the Fourth Proportional to 630.84, 869.62 and 443.72

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Solution

The fourth proportional to 630.84, 869.62 and 443.72 is: 611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.84 : 869.62 = 443.72 : x
  2. Step 2: Convert to fraction form
    630.84/869.62 = 443.72/x
  3. Step 3: Cross multiply
    630.84x = 869.62 × 443.72
  4. Step 4: Simplify right side
    630.84x = 385,867.79
  5. Step 5: Solve for x
    x = 385,867.79/630.84
  6. Step 6: Final answer
    x = 611.67

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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.