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Finding the Fourth Proportional to 708.51, 1,061.92 and 297.50

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Solution

The fourth proportional to 708.51, 1,061.92 and 297.50 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.51 : 1,061.92 = 297.50 : x
  2. Step 2: Convert to fraction form
    708.51/1,061.92 = 297.50/x
  3. Step 3: Cross multiply
    708.51x = 1,061.92 × 297.50
  4. Step 4: Simplify right side
    708.51x = 315,919.71
  5. Step 5: Solve for x
    x = 315,919.71/708.51
  6. Step 6: Final answer
    x = 445.89

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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.