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Finding the Fourth Proportional to 1,780.86, 2,670.93 and 482.02

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Solution

The fourth proportional to 1,780.86, 2,670.93 and 482.02 is: 722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.86 : 2,670.93 = 482.02 : x
  2. Step 2: Convert to fraction form
    1,780.86/2,670.93 = 482.02/x
  3. Step 3: Cross multiply
    1,780.86x = 2,670.93 × 482.02
  4. Step 4: Simplify right side
    1,780.86x = 1,287,441.68
  5. Step 5: Solve for x
    x = 1,287,441.68/1,780.86
  6. Step 6: Final answer
    x = 722.93

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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.