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Finding the Fourth Proportional to 1,649.64, 2,276.53 and 903.67

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Solution

The fourth proportional to 1,649.64, 2,276.53 and 903.67 is: 1,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.64 : 2,276.53 = 903.67 : x
  2. Step 2: Convert to fraction form
    1,649.64/2,276.53 = 903.67/x
  3. Step 3: Cross multiply
    1,649.64x = 2,276.53 × 903.67
  4. Step 4: Simplify right side
    1,649.64x = 2,057,229.88
  5. Step 5: Solve for x
    x = 2,057,229.88/1,649.64
  6. Step 6: Final answer
    x = 1,247.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.