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Finding the Fourth Proportional to 688.70, 950.33 and 436.32

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Solution

The fourth proportional to 688.70, 950.33 and 436.32 is: 602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.70 : 950.33 = 436.32 : x
  2. Step 2: Convert to fraction form
    688.70/950.33 = 436.32/x
  3. Step 3: Cross multiply
    688.70x = 950.33 × 436.32
  4. Step 4: Simplify right side
    688.70x = 414,649.08
  5. Step 5: Solve for x
    x = 414,649.08/688.70
  6. Step 6: Final answer
    x = 602.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.