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Finding the Fourth Proportional to 2,030.79, 3,046.21 and 644.13

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Solution

The fourth proportional to 2,030.79, 3,046.21 and 644.13 is: 966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.79 : 3,046.21 = 644.13 : x
  2. Step 2: Convert to fraction form
    2,030.79/3,046.21 = 644.13/x
  3. Step 3: Cross multiply
    2,030.79x = 3,046.21 × 644.13
  4. Step 4: Simplify right side
    2,030.79x = 1,962,155.25
  5. Step 5: Solve for x
    x = 1,962,155.25/2,030.79
  6. Step 6: Final answer
    x = 966.20

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1.5x scale

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.