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Finding the Fourth Proportional to 447.93, 612.45 and 430.92

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Solution

The fourth proportional to 447.93, 612.45 and 430.92 is: 589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.93 : 612.45 = 430.92 : x
  2. Step 2: Convert to fraction form
    447.93/612.45 = 430.92/x
  3. Step 3: Cross multiply
    447.93x = 612.45 × 430.92
  4. Step 4: Simplify right side
    447.93x = 263,916.95
  5. Step 5: Solve for x
    x = 263,916.95/447.93
  6. Step 6: Final answer
    x = 589.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.