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Finding the Fourth Proportional to 602.34, 831.06 and 405.50

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Solution

The fourth proportional to 602.34, 831.06 and 405.50 is: 559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.34 : 831.06 = 405.50 : x
  2. Step 2: Convert to fraction form
    602.34/831.06 = 405.50/x
  3. Step 3: Cross multiply
    602.34x = 831.06 × 405.50
  4. Step 4: Simplify right side
    602.34x = 336,994.83
  5. Step 5: Solve for x
    x = 336,994.83/602.34
  6. Step 6: Final answer
    x = 559.48

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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.