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Finding the Fourth Proportional to 1,420, 2,129.59 and 598.46

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Solution

The fourth proportional to 1,420, 2,129.59 and 598.46 is: 897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420 : 2,129.59 = 598.46 : x
  2. Step 2: Convert to fraction form
    1,420/2,129.59 = 598.46/x
  3. Step 3: Cross multiply
    1,420x = 2,129.59 × 598.46
  4. Step 4: Simplify right side
    1,420x = 1,274,474.43
  5. Step 5: Solve for x
    x = 1,274,474.43/1,420
  6. Step 6: Final answer
    x = 897.52

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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.