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Finding the Fourth Proportional to 764.93, 1,055.61 and 470.01

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Solution

The fourth proportional to 764.93, 1,055.61 and 470.01 is: 648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.93 : 1,055.61 = 470.01 : x
  2. Step 2: Convert to fraction form
    764.93/1,055.61 = 470.01/x
  3. Step 3: Cross multiply
    764.93x = 1,055.61 × 470.01
  4. Step 4: Simplify right side
    764.93x = 496,147.26
  5. Step 5: Solve for x
    x = 496,147.26/764.93
  6. Step 6: Final answer
    x = 648.62

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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.