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Finding the Fourth Proportional to 683.76, 941.40 and 553.20

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Solution

The fourth proportional to 683.76, 941.40 and 553.20 is: 761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 941.40 = 553.20 : x
  2. Step 2: Convert to fraction form
    683.76/941.40 = 553.20/x
  3. Step 3: Cross multiply
    683.76x = 941.40 × 553.20
  4. Step 4: Simplify right side
    683.76x = 520,782.48
  5. Step 5: Solve for x
    x = 520,782.48/683.76
  6. Step 6: Final answer
    x = 761.65

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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.