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Finding the Fourth Proportional to 433.48, 647.06 and 382

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Solution

The fourth proportional to 433.48, 647.06 and 382 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 647.06 = 382 : x
  2. Step 2: Convert to fraction form
    433.48/647.06 = 382/x
  3. Step 3: Cross multiply
    433.48x = 647.06 × 382
  4. Step 4: Simplify right side
    433.48x = 247,176.92
  5. Step 5: Solve for x
    x = 247,176.92/433.48
  6. Step 6: Final answer
    x = 570.22

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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.