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Finding the Fourth Proportional to 597.70, 838.70 and 597.70

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Solution

The fourth proportional to 597.70, 838.70 and 597.70 is: 838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.70 : 838.70 = 597.70 : x
  2. Step 2: Convert to fraction form
    597.70/838.70 = 597.70/x
  3. Step 3: Cross multiply
    597.70x = 838.70 × 597.70
  4. Step 4: Simplify right side
    597.70x = 501,290.99
  5. Step 5: Solve for x
    x = 501,290.99/597.70
  6. Step 6: Final answer
    x = 838.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.