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Finding the Fourth Proportional to 435.65, 650.10 and 389.50

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Solution

The fourth proportional to 435.65, 650.10 and 389.50 is: 581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.65 : 650.10 = 389.50 : x
  2. Step 2: Convert to fraction form
    435.65/650.10 = 389.50/x
  3. Step 3: Cross multiply
    435.65x = 650.10 × 389.50
  4. Step 4: Simplify right side
    435.65x = 253,213.95
  5. Step 5: Solve for x
    x = 253,213.95/435.65
  6. Step 6: Final answer
    x = 581.23

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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.