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Finding the Fourth Proportional to 584.64, 806.40 and 429.12

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Solution

The fourth proportional to 584.64, 806.40 and 429.12 is: 591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 806.40 = 429.12 : x
  2. Step 2: Convert to fraction form
    584.64/806.40 = 429.12/x
  3. Step 3: Cross multiply
    584.64x = 806.40 × 429.12
  4. Step 4: Simplify right side
    584.64x = 346,042.37
  5. Step 5: Solve for x
    x = 346,042.37/584.64
  6. Step 6: Final answer
    x = 591.89

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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.