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Finding the Fourth Proportional to 708.49, 1,063.41 and 435.11

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Solution

The fourth proportional to 708.49, 1,063.41 and 435.11 is: 653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.49 : 1,063.41 = 435.11 : x
  2. Step 2: Convert to fraction form
    708.49/1,063.41 = 435.11/x
  3. Step 3: Cross multiply
    708.49x = 1,063.41 × 435.11
  4. Step 4: Simplify right side
    708.49x = 462,698.15
  5. Step 5: Solve for x
    x = 462,698.15/708.49
  6. Step 6: Final answer
    x = 653.08

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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.