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Finding the Fourth Proportional to 1,561.53, 2,337.40 and 828.89

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Solution

The fourth proportional to 1,561.53, 2,337.40 and 828.89 is: 1,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.53 : 2,337.40 = 828.89 : x
  2. Step 2: Convert to fraction form
    1,561.53/2,337.40 = 828.89/x
  3. Step 3: Cross multiply
    1,561.53x = 2,337.40 × 828.89
  4. Step 4: Simplify right side
    1,561.53x = 1,937,447.49
  5. Step 5: Solve for x
    x = 1,937,447.49/1,561.53
  6. Step 6: Final answer
    x = 1,240.74

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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.