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Finding the Fourth Proportional to 436.68, 659.98 and 429.12

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Solution

The fourth proportional to 436.68, 659.98 and 429.12 is: 648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.68 : 659.98 = 429.12 : x
  2. Step 2: Convert to fraction form
    436.68/659.98 = 429.12/x
  3. Step 3: Cross multiply
    436.68x = 659.98 × 429.12
  4. Step 4: Simplify right side
    436.68x = 283,210.62
  5. Step 5: Solve for x
    x = 283,210.62/436.68
  6. Step 6: Final answer
    x = 648.55

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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.