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Finding the Fourth Proportional to 708.68, 1,063.04 and 605.31

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Solution

The fourth proportional to 708.68, 1,063.04 and 605.31 is: 907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.68 : 1,063.04 = 605.31 : x
  2. Step 2: Convert to fraction form
    708.68/1,063.04 = 605.31/x
  3. Step 3: Cross multiply
    708.68x = 1,063.04 × 605.31
  4. Step 4: Simplify right side
    708.68x = 643,465.72
  5. Step 5: Solve for x
    x = 643,465.72/708.68
  6. Step 6: Final answer
    x = 907.98

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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.