Home / 1,154.10-1,588.56-965.50

Finding the Fourth Proportional to 1,154.10, 1,588.56 and 965.50

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Solution

The fourth proportional to 1,154.10, 1,588.56 and 965.50 is: 1,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.10 : 1,588.56 = 965.50 : x
  2. Step 2: Convert to fraction form
    1,154.10/1,588.56 = 965.50/x
  3. Step 3: Cross multiply
    1,154.10x = 1,588.56 × 965.50
  4. Step 4: Simplify right side
    1,154.10x = 1,533,754.68
  5. Step 5: Solve for x
    x = 1,533,754.68/1,154.10
  6. Step 6: Final answer
    x = 1,328.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.