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Finding the Fourth Proportional to 684.39, 945.74 and 560.01

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Solution

The fourth proportional to 684.39, 945.74 and 560.01 is: 773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.39 : 945.74 = 560.01 : x
  2. Step 2: Convert to fraction form
    684.39/945.74 = 560.01/x
  3. Step 3: Cross multiply
    684.39x = 945.74 × 560.01
  4. Step 4: Simplify right side
    684.39x = 529,616.33
  5. Step 5: Solve for x
    x = 529,616.33/684.39
  6. Step 6: Final answer
    x = 773.85

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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.