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Finding the Fourth Proportional to 763.50, 1,053.64 and 431.90

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Solution

The fourth proportional to 763.50, 1,053.64 and 431.90 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.50 : 1,053.64 = 431.90 : x
  2. Step 2: Convert to fraction form
    763.50/1,053.64 = 431.90/x
  3. Step 3: Cross multiply
    763.50x = 1,053.64 × 431.90
  4. Step 4: Simplify right side
    763.50x = 455,067.12
  5. Step 5: Solve for x
    x = 455,067.12/763.50
  6. Step 6: Final answer
    x = 596.03

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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.