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Finding the Fourth Proportional to 685.81, 1,032.50 and 470.80

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Solution

The fourth proportional to 685.81, 1,032.50 and 470.80 is: 708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.81 : 1,032.50 = 470.80 : x
  2. Step 2: Convert to fraction form
    685.81/1,032.50 = 470.80/x
  3. Step 3: Cross multiply
    685.81x = 1,032.50 × 470.80
  4. Step 4: Simplify right side
    685.81x = 486,095.84
  5. Step 5: Solve for x
    x = 486,095.84/685.81
  6. Step 6: Final answer
    x = 708.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.