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Finding the Fourth Proportional to 2,210.48, 3,315.20 and 650.48

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Solution

The fourth proportional to 2,210.48, 3,315.20 and 650.48 is: 975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.48 : 3,315.20 = 650.48 : x
  2. Step 2: Convert to fraction form
    2,210.48/3,315.20 = 650.48/x
  3. Step 3: Cross multiply
    2,210.48x = 3,315.20 × 650.48
  4. Step 4: Simplify right side
    2,210.48x = 2,156,471.30
  5. Step 5: Solve for x
    x = 2,156,471.30/2,210.48
  6. Step 6: Final answer
    x = 975.57

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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.