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Finding the Fourth Proportional to 630.40, 946.20 and 539.20

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Solution

The fourth proportional to 630.40, 946.20 and 539.20 is: 809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.40 : 946.20 = 539.20 : x
  2. Step 2: Convert to fraction form
    630.40/946.20 = 539.20/x
  3. Step 3: Cross multiply
    630.40x = 946.20 × 539.20
  4. Step 4: Simplify right side
    630.40x = 510,191.04
  5. Step 5: Solve for x
    x = 510,191.04/630.40
  6. Step 6: Final answer
    x = 809.31

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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.