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Finding the Fourth Proportional to 2,700.77, 4,051.16 and 648.77

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Solution

The fourth proportional to 2,700.77, 4,051.16 and 648.77 is: 973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.77 : 4,051.16 = 648.77 : x
  2. Step 2: Convert to fraction form
    2,700.77/4,051.16 = 648.77/x
  3. Step 3: Cross multiply
    2,700.77x = 4,051.16 × 648.77
  4. Step 4: Simplify right side
    2,700.77x = 2,628,289.20
  5. Step 5: Solve for x
    x = 2,628,289.20/2,700.77
  6. Step 6: Final answer
    x = 973.16

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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.