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Finding the Fourth Proportional to 1,573.77, 2,369.80 and 1,165.80

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Solution

The fourth proportional to 1,573.77, 2,369.80 and 1,165.80 is: 1,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.77 : 2,369.80 = 1,165.80 : x
  2. Step 2: Convert to fraction form
    1,573.77/2,369.80 = 1,165.80/x
  3. Step 3: Cross multiply
    1,573.77x = 2,369.80 × 1,165.80
  4. Step 4: Simplify right side
    1,573.77x = 2,762,712.84
  5. Step 5: Solve for x
    x = 2,762,712.84/1,573.77
  6. Step 6: Final answer
    x = 1,755.47

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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.