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Finding the Fourth Proportional to 589.76, 815.64 and 515.95

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Solution

The fourth proportional to 589.76, 815.64 and 515.95 is: 713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.76 : 815.64 = 515.95 : x
  2. Step 2: Convert to fraction form
    589.76/815.64 = 515.95/x
  3. Step 3: Cross multiply
    589.76x = 815.64 × 515.95
  4. Step 4: Simplify right side
    589.76x = 420,829.46
  5. Step 5: Solve for x
    x = 420,829.46/589.76
  6. Step 6: Final answer
    x = 713.56

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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.