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Finding the Fourth Proportional to 1,557.91, 2,336.01 and 680.05

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Solution

The fourth proportional to 1,557.91, 2,336.01 and 680.05 is: 1,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.91 : 2,336.01 = 680.05 : x
  2. Step 2: Convert to fraction form
    1,557.91/2,336.01 = 680.05/x
  3. Step 3: Cross multiply
    1,557.91x = 2,336.01 × 680.05
  4. Step 4: Simplify right side
    1,557.91x = 1,588,603.60
  5. Step 5: Solve for x
    x = 1,588,603.60/1,557.91
  6. Step 6: Final answer
    x = 1,019.70

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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.