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Finding the Fourth Proportional to 764.36, 1,051.62 and 589.40

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Solution

The fourth proportional to 764.36, 1,051.62 and 589.40 is: 810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.36 : 1,051.62 = 589.40 : x
  2. Step 2: Convert to fraction form
    764.36/1,051.62 = 589.40/x
  3. Step 3: Cross multiply
    764.36x = 1,051.62 × 589.40
  4. Step 4: Simplify right side
    764.36x = 619,824.83
  5. Step 5: Solve for x
    x = 619,824.83/764.36
  6. Step 6: Final answer
    x = 810.91

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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.