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Finding the Fourth Proportional to 708.83, 1,061.48 and 448.06

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Solution

The fourth proportional to 708.83, 1,061.48 and 448.06 is: 670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.83 : 1,061.48 = 448.06 : x
  2. Step 2: Convert to fraction form
    708.83/1,061.48 = 448.06/x
  3. Step 3: Cross multiply
    708.83x = 1,061.48 × 448.06
  4. Step 4: Simplify right side
    708.83x = 475,599.18
  5. Step 5: Solve for x
    x = 475,599.18/708.83
  6. Step 6: Final answer
    x = 670.96

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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.