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Finding the Fourth Proportional to 2,280.29, 3,420.02 and 637.00

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Solution

The fourth proportional to 2,280.29, 3,420.02 and 637.00 is: 955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.29 : 3,420.02 = 637.00 : x
  2. Step 2: Convert to fraction form
    2,280.29/3,420.02 = 637.00/x
  3. Step 3: Cross multiply
    2,280.29x = 3,420.02 × 637.00
  4. Step 4: Simplify right side
    2,280.29x = 2,178,545.78
  5. Step 5: Solve for x
    x = 2,178,545.78/2,280.29
  6. Step 6: Final answer
    x = 955.38

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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.