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Finding the Fourth Proportional to 708.95, 1,063.53 and 362.48

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Solution

The fourth proportional to 708.95, 1,063.53 and 362.48 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.95 : 1,063.53 = 362.48 : x
  2. Step 2: Convert to fraction form
    708.95/1,063.53 = 362.48/x
  3. Step 3: Cross multiply
    708.95x = 1,063.53 × 362.48
  4. Step 4: Simplify right side
    708.95x = 385,503.04
  5. Step 5: Solve for x
    x = 385,503.04/708.95
  6. Step 6: Final answer
    x = 543.76

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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.