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Finding the Fourth Proportional to 1,560.48, 2,153.30 and 897.54

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Solution

The fourth proportional to 1,560.48, 2,153.30 and 897.54 is: 1,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.48 : 2,153.30 = 897.54 : x
  2. Step 2: Convert to fraction form
    1,560.48/2,153.30 = 897.54/x
  3. Step 3: Cross multiply
    1,560.48x = 2,153.30 × 897.54
  4. Step 4: Simplify right side
    1,560.48x = 1,932,672.88
  5. Step 5: Solve for x
    x = 1,932,672.88/1,560.48
  6. Step 6: Final answer
    x = 1,238.51

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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.