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Finding the Fourth Proportional to 1,420.95, 2,129.85 and 598.98

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Solution

The fourth proportional to 1,420.95, 2,129.85 and 598.98 is: 897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.95 : 2,129.85 = 598.98 : x
  2. Step 2: Convert to fraction form
    1,420.95/2,129.85 = 598.98/x
  3. Step 3: Cross multiply
    1,420.95x = 2,129.85 × 598.98
  4. Step 4: Simplify right side
    1,420.95x = 1,275,737.55
  5. Step 5: Solve for x
    x = 1,275,737.55/1,420.95
  6. Step 6: Final answer
    x = 897.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.