Home / 630.22-946.40-411.22

Finding the Fourth Proportional to 630.22, 946.40 and 411.22

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Solution

The fourth proportional to 630.22, 946.40 and 411.22 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.22 : 946.40 = 411.22 : x
  2. Step 2: Convert to fraction form
    630.22/946.40 = 411.22/x
  3. Step 3: Cross multiply
    630.22x = 946.40 × 411.22
  4. Step 4: Simplify right side
    630.22x = 389,178.61
  5. Step 5: Solve for x
    x = 389,178.61/630.22
  6. Step 6: Final answer
    x = 617.53

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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.