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Finding the Fourth Proportional to 1,560.01, 2,337.95 and 828.01

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Solution

The fourth proportional to 1,560.01, 2,337.95 and 828.01 is: 1,240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.01 : 2,337.95 = 828.01 : x
  2. Step 2: Convert to fraction form
    1,560.01/2,337.95 = 828.01/x
  3. Step 3: Cross multiply
    1,560.01x = 2,337.95 × 828.01
  4. Step 4: Simplify right side
    1,560.01x = 1,935,841.84
  5. Step 5: Solve for x
    x = 1,935,841.84/1,560.01
  6. Step 6: Final answer
    x = 1,240.92

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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.