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Finding the Fourth Proportional to 684.03, 943 and 578.69

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Solution

The fourth proportional to 684.03, 943 and 578.69 is: 797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.03 : 943 = 578.69 : x
  2. Step 2: Convert to fraction form
    684.03/943 = 578.69/x
  3. Step 3: Cross multiply
    684.03x = 943 × 578.69
  4. Step 4: Simplify right side
    684.03x = 545,704.67
  5. Step 5: Solve for x
    x = 545,704.67/684.03
  6. Step 6: Final answer
    x = 797.78

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1.5x scale

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.