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Finding the Fourth Proportional to 589.03, 812.93 and 340.35

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Solution

The fourth proportional to 589.03, 812.93 and 340.35 is: 469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.03 : 812.93 = 340.35 : x
  2. Step 2: Convert to fraction form
    589.03/812.93 = 340.35/x
  3. Step 3: Cross multiply
    589.03x = 812.93 × 340.35
  4. Step 4: Simplify right side
    589.03x = 276,680.73
  5. Step 5: Solve for x
    x = 276,680.73/589.03
  6. Step 6: Final answer
    x = 469.72

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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.