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Finding the Fourth Proportional to 763.48, 1,054.47 and 514.37

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Solution

The fourth proportional to 763.48, 1,054.47 and 514.37 is: 710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.48 : 1,054.47 = 514.37 : x
  2. Step 2: Convert to fraction form
    763.48/1,054.47 = 514.37/x
  3. Step 3: Cross multiply
    763.48x = 1,054.47 × 514.37
  4. Step 4: Simplify right side
    763.48x = 542,387.73
  5. Step 5: Solve for x
    x = 542,387.73/763.48
  6. Step 6: Final answer
    x = 710.42

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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.