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Finding the Fourth Proportional to 931.53, 1,397.57 and 444.99

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Solution

The fourth proportional to 931.53, 1,397.57 and 444.99 is: 667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.53 : 1,397.57 = 444.99 : x
  2. Step 2: Convert to fraction form
    931.53/1,397.57 = 444.99/x
  3. Step 3: Cross multiply
    931.53x = 1,397.57 × 444.99
  4. Step 4: Simplify right side
    931.53x = 621,902.45
  5. Step 5: Solve for x
    x = 621,902.45/931.53
  6. Step 6: Final answer
    x = 667.61

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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.