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Finding the Fourth Proportional to 433.66, 647.54 and 356.78

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Solution

The fourth proportional to 433.66, 647.54 and 356.78 is: 532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.66 : 647.54 = 356.78 : x
  2. Step 2: Convert to fraction form
    433.66/647.54 = 356.78/x
  3. Step 3: Cross multiply
    433.66x = 647.54 × 356.78
  4. Step 4: Simplify right side
    433.66x = 231,029.32
  5. Step 5: Solve for x
    x = 231,029.32/433.66
  6. Step 6: Final answer
    x = 532.74

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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.