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Finding the Fourth Proportional to 1,260.01, 1,897.45 and 1,099.63

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Solution

The fourth proportional to 1,260.01, 1,897.45 and 1,099.63 is: 1,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.01 : 1,897.45 = 1,099.63 : x
  2. Step 2: Convert to fraction form
    1,260.01/1,897.45 = 1,099.63/x
  3. Step 3: Cross multiply
    1,260.01x = 1,897.45 × 1,099.63
  4. Step 4: Simplify right side
    1,260.01x = 2,086,492.94
  5. Step 5: Solve for x
    x = 2,086,492.94/1,260.01
  6. Step 6: Final answer
    x = 1,655.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.