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Finding the Fourth Proportional to 1,500.44, 2,070.20 and 910.85

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Solution

The fourth proportional to 1,500.44, 2,070.20 and 910.85 is: 1,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.44 : 2,070.20 = 910.85 : x
  2. Step 2: Convert to fraction form
    1,500.44/2,070.20 = 910.85/x
  3. Step 3: Cross multiply
    1,500.44x = 2,070.20 × 910.85
  4. Step 4: Simplify right side
    1,500.44x = 1,885,633.60
  5. Step 5: Solve for x
    x = 1,885,633.60/1,500.44
  6. Step 6: Final answer
    x = 1,256.72

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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.