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Finding the Fourth Proportional to 602.56, 831.57 and 340.57

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Solution

The fourth proportional to 602.56, 831.57 and 340.57 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 831.57 = 340.57 : x
  2. Step 2: Convert to fraction form
    602.56/831.57 = 340.57/x
  3. Step 3: Cross multiply
    602.56x = 831.57 × 340.57
  4. Step 4: Simplify right side
    602.56x = 283,207.79
  5. Step 5: Solve for x
    x = 283,207.79/602.56
  6. Step 6: Final answer
    x = 470.01

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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.