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Finding the Fourth Proportional to 764.48, 1,055 and 415.18

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Solution

The fourth proportional to 764.48, 1,055 and 415.18 is: 572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.48 : 1,055 = 415.18 : x
  2. Step 2: Convert to fraction form
    764.48/1,055 = 415.18/x
  3. Step 3: Cross multiply
    764.48x = 1,055 × 415.18
  4. Step 4: Simplify right side
    764.48x = 438,014.90
  5. Step 5: Solve for x
    x = 438,014.90/764.48
  6. Step 6: Final answer
    x = 572.96

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Double scale
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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.