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Finding the Fourth Proportional to 764, 1,053.93 and 528.18

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Solution

The fourth proportional to 764, 1,053.93 and 528.18 is: 728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    764 : 1,053.93 = 528.18 : x
  2. Step 2: Convert to fraction form
    764/1,053.93 = 528.18/x
  3. Step 3: Cross multiply
    764x = 1,053.93 × 528.18
  4. Step 4: Simplify right side
    764x = 556,664.75
  5. Step 5: Solve for x
    x = 556,664.75/764
  6. Step 6: Final answer
    x = 728.62

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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.