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Finding the Fourth Proportional to 2,030, 3,045.02 and 491

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Solution

The fourth proportional to 2,030, 3,045.02 and 491 is: 736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030 : 3,045.02 = 491 : x
  2. Step 2: Convert to fraction form
    2,030/3,045.02 = 491/x
  3. Step 3: Cross multiply
    2,030x = 3,045.02 × 491
  4. Step 4: Simplify right side
    2,030x = 1,495,104.82
  5. Step 5: Solve for x
    x = 1,495,104.82/2,030
  6. Step 6: Final answer
    x = 736.50

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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.