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Finding the Fourth Proportional to 553.20, 826.26 and 476.40

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Solution

The fourth proportional to 553.20, 826.26 and 476.40 is: 711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.20 : 826.26 = 476.40 : x
  2. Step 2: Convert to fraction form
    553.20/826.26 = 476.40/x
  3. Step 3: Cross multiply
    553.20x = 826.26 × 476.40
  4. Step 4: Simplify right side
    553.20x = 393,630.26
  5. Step 5: Solve for x
    x = 393,630.26/553.20
  6. Step 6: Final answer
    x = 711.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.