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Finding the Fourth Proportional to 1,623.44, 2,434.80 and 649.76

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Solution

The fourth proportional to 1,623.44, 2,434.80 and 649.76 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.44 : 2,434.80 = 649.76 : x
  2. Step 2: Convert to fraction form
    1,623.44/2,434.80 = 649.76/x
  3. Step 3: Cross multiply
    1,623.44x = 2,434.80 × 649.76
  4. Step 4: Simplify right side
    1,623.44x = 1,582,035.65
  5. Step 5: Solve for x
    x = 1,582,035.65/1,623.44
  6. Step 6: Final answer
    x = 974.50

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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.