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Finding the Fourth Proportional to 553.16, 828.30 and 539.40

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Solution

The fourth proportional to 553.16, 828.30 and 539.40 is: 807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 828.30 = 539.40 : x
  2. Step 2: Convert to fraction form
    553.16/828.30 = 539.40/x
  3. Step 3: Cross multiply
    553.16x = 828.30 × 539.40
  4. Step 4: Simplify right side
    553.16x = 446,785.02
  5. Step 5: Solve for x
    x = 446,785.02/553.16
  6. Step 6: Final answer
    x = 807.70

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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.