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Finding the Fourth Proportional to 488.28, 730.62 and 433

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Solution

The fourth proportional to 488.28, 730.62 and 433 is: 647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.28 : 730.62 = 433 : x
  2. Step 2: Convert to fraction form
    488.28/730.62 = 433/x
  3. Step 3: Cross multiply
    488.28x = 730.62 × 433
  4. Step 4: Simplify right side
    488.28x = 316,356.30
  5. Step 5: Solve for x
    x = 316,356.30/488.28
  6. Step 6: Final answer
    x = 647.90

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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.