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Finding the Fourth Proportional to 763.78, 1,054.14 and 432.30

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Solution

The fourth proportional to 763.78, 1,054.14 and 432.30 is: 596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.78 : 1,054.14 = 432.30 : x
  2. Step 2: Convert to fraction form
    763.78/1,054.14 = 432.30/x
  3. Step 3: Cross multiply
    763.78x = 1,054.14 × 432.30
  4. Step 4: Simplify right side
    763.78x = 455,704.72
  5. Step 5: Solve for x
    x = 455,704.72/763.78
  6. Step 6: Final answer
    x = 596.64

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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.