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Finding the Fourth Proportional to 2,030.61, 3,045.88 and 644.04

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Solution

The fourth proportional to 2,030.61, 3,045.88 and 644.04 is: 966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.61 : 3,045.88 = 644.04 : x
  2. Step 2: Convert to fraction form
    2,030.61/3,045.88 = 644.04/x
  3. Step 3: Cross multiply
    2,030.61x = 3,045.88 × 644.04
  4. Step 4: Simplify right side
    2,030.61x = 1,961,669.36
  5. Step 5: Solve for x
    x = 1,961,669.36/2,030.61
  6. Step 6: Final answer
    x = 966.05

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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.