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Finding the Fourth Proportional to 2,363.70, 3,545.93 and 719.87

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Solution

The fourth proportional to 2,363.70, 3,545.93 and 719.87 is: 1,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.70 : 3,545.93 = 719.87 : x
  2. Step 2: Convert to fraction form
    2,363.70/3,545.93 = 719.87/x
  3. Step 3: Cross multiply
    2,363.70x = 3,545.93 × 719.87
  4. Step 4: Simplify right side
    2,363.70x = 2,552,587.30
  5. Step 5: Solve for x
    x = 2,552,587.30/2,363.70
  6. Step 6: Final answer
    x = 1,079.91

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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.