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Finding the Fourth Proportional to 684.46, 945.05 and 617.94

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Solution

The fourth proportional to 684.46, 945.05 and 617.94 is: 853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.46 : 945.05 = 617.94 : x
  2. Step 2: Convert to fraction form
    684.46/945.05 = 617.94/x
  3. Step 3: Cross multiply
    684.46x = 945.05 × 617.94
  4. Step 4: Simplify right side
    684.46x = 583,981.11
  5. Step 5: Solve for x
    x = 583,981.11/684.46
  6. Step 6: Final answer
    x = 853.20

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Double scale
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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.