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Finding the Fourth Proportional to 801.66, 1,199.01 and 471.81

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Solution

The fourth proportional to 801.66, 1,199.01 and 471.81 is: 705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.66 : 1,199.01 = 471.81 : x
  2. Step 2: Convert to fraction form
    801.66/1,199.01 = 471.81/x
  3. Step 3: Cross multiply
    801.66x = 1,199.01 × 471.81
  4. Step 4: Simplify right side
    801.66x = 565,703.10
  5. Step 5: Solve for x
    x = 565,703.10/801.66
  6. Step 6: Final answer
    x = 705.67

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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.