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Finding the Fourth Proportional to 1,780.48, 2,670.98 and 548.00

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Solution

The fourth proportional to 1,780.48, 2,670.98 and 548.00 is: 822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.48 : 2,670.98 = 548.00 : x
  2. Step 2: Convert to fraction form
    1,780.48/2,670.98 = 548.00/x
  3. Step 3: Cross multiply
    1,780.48x = 2,670.98 × 548.00
  4. Step 4: Simplify right side
    1,780.48x = 1,463,680.95
  5. Step 5: Solve for x
    x = 1,463,680.95/1,780.48
  6. Step 6: Final answer
    x = 822.07

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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.