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Finding the Fourth Proportional to 589.12, 812.95 and 340.45

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Solution

The fourth proportional to 589.12, 812.95 and 340.45 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 812.95 = 340.45 : x
  2. Step 2: Convert to fraction form
    589.12/812.95 = 340.45/x
  3. Step 3: Cross multiply
    589.12x = 812.95 × 340.45
  4. Step 4: Simplify right side
    589.12x = 276,763.06
  5. Step 5: Solve for x
    x = 276,763.06/589.12
  6. Step 6: Final answer
    x = 469.79

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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.