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Finding the Fourth Proportional to 601.52, 830.36 and 405.36

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Solution

The fourth proportional to 601.52, 830.36 and 405.36 is: 559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.52 : 830.36 = 405.36 : x
  2. Step 2: Convert to fraction form
    601.52/830.36 = 405.36/x
  3. Step 3: Cross multiply
    601.52x = 830.36 × 405.36
  4. Step 4: Simplify right side
    601.52x = 336,594.73
  5. Step 5: Solve for x
    x = 336,594.73/601.52
  6. Step 6: Final answer
    x = 559.57

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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.