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Finding the Fourth Proportional to 597.40, 823.89 and 387.50

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Solution

The fourth proportional to 597.40, 823.89 and 387.50 is: 534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.40 : 823.89 = 387.50 : x
  2. Step 2: Convert to fraction form
    597.40/823.89 = 387.50/x
  3. Step 3: Cross multiply
    597.40x = 823.89 × 387.50
  4. Step 4: Simplify right side
    597.40x = 319,255.32
  5. Step 5: Solve for x
    x = 319,255.32/597.40
  6. Step 6: Final answer
    x = 534.41

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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.