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Finding the Fourth Proportional to 553.96, 830.94 and 457.57

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Solution

The fourth proportional to 553.96, 830.94 and 457.57 is: 686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.96 : 830.94 = 457.57 : x
  2. Step 2: Convert to fraction form
    553.96/830.94 = 457.57/x
  3. Step 3: Cross multiply
    553.96x = 830.94 × 457.57
  4. Step 4: Simplify right side
    553.96x = 380,213.22
  5. Step 5: Solve for x
    x = 380,213.22/553.96
  6. Step 6: Final answer
    x = 686.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.