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Finding the Fourth Proportional to 2,385.74, 3,577.94 and 719.81

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Solution

The fourth proportional to 2,385.74, 3,577.94 and 719.81 is: 1,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.74 : 3,577.94 = 719.81 : x
  2. Step 2: Convert to fraction form
    2,385.74/3,577.94 = 719.81/x
  3. Step 3: Cross multiply
    2,385.74x = 3,577.94 × 719.81
  4. Step 4: Simplify right side
    2,385.74x = 2,575,415.50
  5. Step 5: Solve for x
    x = 2,575,415.50/2,385.74
  6. Step 6: Final answer
    x = 1,079.50

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1.5x scale

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.