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Finding the Fourth Proportional to 431.91, 595.73 and 417.63

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Solution

The fourth proportional to 431.91, 595.73 and 417.63 is: 576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.91 : 595.73 = 417.63 : x
  2. Step 2: Convert to fraction form
    431.91/595.73 = 417.63/x
  3. Step 3: Cross multiply
    431.91x = 595.73 × 417.63
  4. Step 4: Simplify right side
    431.91x = 248,792.63
  5. Step 5: Solve for x
    x = 248,792.63/431.91
  6. Step 6: Final answer
    x = 576.03

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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.