Home / 1,420.87-2,129.82-598.46

Finding the Fourth Proportional to 1,420.87, 2,129.82 and 598.46

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Solution

The fourth proportional to 1,420.87, 2,129.82 and 598.46 is: 897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.87 : 2,129.82 = 598.46 : x
  2. Step 2: Convert to fraction form
    1,420.87/2,129.82 = 598.46/x
  3. Step 3: Cross multiply
    1,420.87x = 2,129.82 × 598.46
  4. Step 4: Simplify right side
    1,420.87x = 1,274,618.84
  5. Step 5: Solve for x
    x = 1,274,618.84/1,420.87
  6. Step 6: Final answer
    x = 897.07

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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.