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Finding the Fourth Proportional to 1,052.68, 1,578.84 and 283

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Solution

The fourth proportional to 1,052.68, 1,578.84 and 283 is: 424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.68 : 1,578.84 = 283 : x
  2. Step 2: Convert to fraction form
    1,052.68/1,578.84 = 283/x
  3. Step 3: Cross multiply
    1,052.68x = 1,578.84 × 283
  4. Step 4: Simplify right side
    1,052.68x = 446,811.72
  5. Step 5: Solve for x
    x = 446,811.72/1,052.68
  6. Step 6: Final answer
    x = 424.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.