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Finding the Fourth Proportional to 708.75, 1,062.92 and 357.51

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Solution

The fourth proportional to 708.75, 1,062.92 and 357.51 is: 536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 1,062.92 = 357.51 : x
  2. Step 2: Convert to fraction form
    708.75/1,062.92 = 357.51/x
  3. Step 3: Cross multiply
    708.75x = 1,062.92 × 357.51
  4. Step 4: Simplify right side
    708.75x = 380,009.41
  5. Step 5: Solve for x
    x = 380,009.41/708.75
  6. Step 6: Final answer
    x = 536.17

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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.