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Finding the Fourth Proportional to 685.68, 945.12 and 587.04

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Solution

The fourth proportional to 685.68, 945.12 and 587.04 is: 809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 945.12 = 587.04 : x
  2. Step 2: Convert to fraction form
    685.68/945.12 = 587.04/x
  3. Step 3: Cross multiply
    685.68x = 945.12 × 587.04
  4. Step 4: Simplify right side
    685.68x = 554,823.24
  5. Step 5: Solve for x
    x = 554,823.24/685.68
  6. Step 6: Final answer
    x = 809.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.