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Finding the Fourth Proportional to 914.18, 1,259.60 and 764.28

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Solution

The fourth proportional to 914.18, 1,259.60 and 764.28 is: 1,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.18 : 1,259.60 = 764.28 : x
  2. Step 2: Convert to fraction form
    914.18/1,259.60 = 764.28/x
  3. Step 3: Cross multiply
    914.18x = 1,259.60 × 764.28
  4. Step 4: Simplify right side
    914.18x = 962,683.27
  5. Step 5: Solve for x
    x = 962,683.27/914.18
  6. Step 6: Final answer
    x = 1,053.06

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1.5x scale

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.