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Finding the Fourth Proportional to 433.19, 652.70 and 357.84

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Solution

The fourth proportional to 433.19, 652.70 and 357.84 is: 539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.19 : 652.70 = 357.84 : x
  2. Step 2: Convert to fraction form
    433.19/652.70 = 357.84/x
  3. Step 3: Cross multiply
    433.19x = 652.70 × 357.84
  4. Step 4: Simplify right side
    433.19x = 233,561.43
  5. Step 5: Solve for x
    x = 233,561.43/433.19
  6. Step 6: Final answer
    x = 539.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.