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Finding the Fourth Proportional to 1,158.76, 1,736.10 and 965.00

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Solution

The fourth proportional to 1,158.76, 1,736.10 and 965.00 is: 1,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.76 : 1,736.10 = 965.00 : x
  2. Step 2: Convert to fraction form
    1,158.76/1,736.10 = 965.00/x
  3. Step 3: Cross multiply
    1,158.76x = 1,736.10 × 965.00
  4. Step 4: Simplify right side
    1,158.76x = 1,675,331.07
  5. Step 5: Solve for x
    x = 1,675,331.07/1,158.76
  6. Step 6: Final answer
    x = 1,445.80

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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.