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Finding the Fourth Proportional to 2,030.31, 3,045.48 and 643.65

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Solution

The fourth proportional to 2,030.31, 3,045.48 and 643.65 is: 965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.31 : 3,045.48 = 643.65 : x
  2. Step 2: Convert to fraction form
    2,030.31/3,045.48 = 643.65/x
  3. Step 3: Cross multiply
    2,030.31x = 3,045.48 × 643.65
  4. Step 4: Simplify right side
    2,030.31x = 1,960,223.20
  5. Step 5: Solve for x
    x = 1,960,223.20/2,030.31
  6. Step 6: Final answer
    x = 965.48

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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.