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Finding the Fourth Proportional to 902.65, 1,354.15 and 382.65

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Solution

The fourth proportional to 902.65, 1,354.15 and 382.65 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.65 : 1,354.15 = 382.65 : x
  2. Step 2: Convert to fraction form
    902.65/1,354.15 = 382.65/x
  3. Step 3: Cross multiply
    902.65x = 1,354.15 × 382.65
  4. Step 4: Simplify right side
    902.65x = 518,165.50
  5. Step 5: Solve for x
    x = 518,165.50/902.65
  6. Step 6: Final answer
    x = 574.05

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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.