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Finding the Fourth Proportional to 764.65, 1,054.88 and 587.29

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Solution

The fourth proportional to 764.65, 1,054.88 and 587.29 is: 810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.65 : 1,054.88 = 587.29 : x
  2. Step 2: Convert to fraction form
    764.65/1,054.88 = 587.29/x
  3. Step 3: Cross multiply
    764.65x = 1,054.88 × 587.29
  4. Step 4: Simplify right side
    764.65x = 619,520.18
  5. Step 5: Solve for x
    x = 619,520.18/764.65
  6. Step 6: Final answer
    x = 810.21

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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.