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Finding the Fourth Proportional to 436.11, 602.31 and 430.32

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Solution

The fourth proportional to 436.11, 602.31 and 430.32 is: 594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.11 : 602.31 = 430.32 : x
  2. Step 2: Convert to fraction form
    436.11/602.31 = 430.32/x
  3. Step 3: Cross multiply
    436.11x = 602.31 × 430.32
  4. Step 4: Simplify right side
    436.11x = 259,186.04
  5. Step 5: Solve for x
    x = 259,186.04/436.11
  6. Step 6: Final answer
    x = 594.31

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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.