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Finding the Fourth Proportional to 1,396.88, 2,095.98 and 575

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Solution

The fourth proportional to 1,396.88, 2,095.98 and 575 is: 862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.88 : 2,095.98 = 575 : x
  2. Step 2: Convert to fraction form
    1,396.88/2,095.98 = 575/x
  3. Step 3: Cross multiply
    1,396.88x = 2,095.98 × 575
  4. Step 4: Simplify right side
    1,396.88x = 1,205,188.50
  5. Step 5: Solve for x
    x = 1,205,188.50/1,396.88
  6. Step 6: Final answer
    x = 862.77

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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.