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Finding the Fourth Proportional to 1,650.72, 2,276.10 and 1,385.58

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Solution

The fourth proportional to 1,650.72, 2,276.10 and 1,385.58 is: 1,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.72 : 2,276.10 = 1,385.58 : x
  2. Step 2: Convert to fraction form
    1,650.72/2,276.10 = 1,385.58/x
  3. Step 3: Cross multiply
    1,650.72x = 2,276.10 × 1,385.58
  4. Step 4: Simplify right side
    1,650.72x = 3,153,718.64
  5. Step 5: Solve for x
    x = 3,153,718.64/1,650.72
  6. Step 6: Final answer
    x = 1,910.51

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