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Finding the Fourth Proportional to 1,048.83, 1,447.38 and 594.56

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Solution

The fourth proportional to 1,048.83, 1,447.38 and 594.56 is: 820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.83 : 1,447.38 = 594.56 : x
  2. Step 2: Convert to fraction form
    1,048.83/1,447.38 = 594.56/x
  3. Step 3: Cross multiply
    1,048.83x = 1,447.38 × 594.56
  4. Step 4: Simplify right side
    1,048.83x = 860,547.02
  5. Step 5: Solve for x
    x = 860,547.02/1,048.83
  6. Step 6: Final answer
    x = 820.48

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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.