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Finding the Fourth Proportional to 431.98, 596.73 and 390.58

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Solution

The fourth proportional to 431.98, 596.73 and 390.58 is: 539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.98 : 596.73 = 390.58 : x
  2. Step 2: Convert to fraction form
    431.98/596.73 = 390.58/x
  3. Step 3: Cross multiply
    431.98x = 596.73 × 390.58
  4. Step 4: Simplify right side
    431.98x = 233,070.80
  5. Step 5: Solve for x
    x = 233,070.80/431.98
  6. Step 6: Final answer
    x = 539.54

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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.