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Finding the Fourth Proportional to 1,053.95, 1,578.49 and 591.03

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Solution

The fourth proportional to 1,053.95, 1,578.49 and 591.03 is: 885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.95 : 1,578.49 = 591.03 : x
  2. Step 2: Convert to fraction form
    1,053.95/1,578.49 = 591.03/x
  3. Step 3: Cross multiply
    1,053.95x = 1,578.49 × 591.03
  4. Step 4: Simplify right side
    1,053.95x = 932,933.47
  5. Step 5: Solve for x
    x = 932,933.47/1,053.95
  6. Step 6: Final answer
    x = 885.18

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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.