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Finding the Fourth Proportional to 763.48, 1,053.60 and 427.38

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Solution

The fourth proportional to 763.48, 1,053.60 and 427.38 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.48 : 1,053.60 = 427.38 : x
  2. Step 2: Convert to fraction form
    763.48/1,053.60 = 427.38/x
  3. Step 3: Cross multiply
    763.48x = 1,053.60 × 427.38
  4. Step 4: Simplify right side
    763.48x = 450,287.57
  5. Step 5: Solve for x
    x = 450,287.57/763.48
  6. Step 6: Final answer
    x = 589.78

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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.