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Finding the Fourth Proportional to 838.98, 1,259.28 and 621.90

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Solution

The fourth proportional to 838.98, 1,259.28 and 621.90 is: 933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.98 : 1,259.28 = 621.90 : x
  2. Step 2: Convert to fraction form
    838.98/1,259.28 = 621.90/x
  3. Step 3: Cross multiply
    838.98x = 1,259.28 × 621.90
  4. Step 4: Simplify right side
    838.98x = 783,146.23
  5. Step 5: Solve for x
    x = 783,146.23/838.98
  6. Step 6: Final answer
    x = 933.45

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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.