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Finding the Fourth Proportional to 643.32, 886.86 and 433.62

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Solution

The fourth proportional to 643.32, 886.86 and 433.62 is: 597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 886.86 = 433.62 : x
  2. Step 2: Convert to fraction form
    643.32/886.86 = 433.62/x
  3. Step 3: Cross multiply
    643.32x = 886.86 × 433.62
  4. Step 4: Simplify right side
    643.32x = 384,560.23
  5. Step 5: Solve for x
    x = 384,560.23/643.32
  6. Step 6: Final answer
    x = 597.77

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1.5x scale

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.