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Finding the Fourth Proportional to 1,877.48, 2,813.12 and 644.21

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Solution

The fourth proportional to 1,877.48, 2,813.12 and 644.21 is: 965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.48 : 2,813.12 = 644.21 : x
  2. Step 2: Convert to fraction form
    1,877.48/2,813.12 = 644.21/x
  3. Step 3: Cross multiply
    1,877.48x = 2,813.12 × 644.21
  4. Step 4: Simplify right side
    1,877.48x = 1,812,240.04
  5. Step 5: Solve for x
    x = 1,812,240.04/1,877.48
  6. Step 6: Final answer
    x = 965.25

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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.