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Finding the Fourth Proportional to 763.62, 1,054.67 and 514.51

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Solution

The fourth proportional to 763.62, 1,054.67 and 514.51 is: 710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.62 : 1,054.67 = 514.51 : x
  2. Step 2: Convert to fraction form
    763.62/1,054.67 = 514.51/x
  3. Step 3: Cross multiply
    763.62x = 1,054.67 × 514.51
  4. Step 4: Simplify right side
    763.62x = 542,633.05
  5. Step 5: Solve for x
    x = 542,633.05/763.62
  6. Step 6: Final answer
    x = 710.61

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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.