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Finding the Fourth Proportional to 597.20, 894.60 and 340.40

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Solution

The fourth proportional to 597.20, 894.60 and 340.40 is: 509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 894.60 = 340.40 : x
  2. Step 2: Convert to fraction form
    597.20/894.60 = 340.40/x
  3. Step 3: Cross multiply
    597.20x = 894.60 × 340.40
  4. Step 4: Simplify right side
    597.20x = 304,521.84
  5. Step 5: Solve for x
    x = 304,521.84/597.20
  6. Step 6: Final answer
    x = 509.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.