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Finding the Fourth Proportional to 572.19, 788.79 and 432.45

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Solution

The fourth proportional to 572.19, 788.79 and 432.45 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.19 : 788.79 = 432.45 : x
  2. Step 2: Convert to fraction form
    572.19/788.79 = 432.45/x
  3. Step 3: Cross multiply
    572.19x = 788.79 × 432.45
  4. Step 4: Simplify right side
    572.19x = 341,112.24
  5. Step 5: Solve for x
    x = 341,112.24/572.19
  6. Step 6: Final answer
    x = 596.15

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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.