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Finding the Fourth Proportional to 482.36, 727.48 and 429.50

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Solution

The fourth proportional to 482.36, 727.48 and 429.50 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.36 : 727.48 = 429.50 : x
  2. Step 2: Convert to fraction form
    482.36/727.48 = 429.50/x
  3. Step 3: Cross multiply
    482.36x = 727.48 × 429.50
  4. Step 4: Simplify right side
    482.36x = 312,455.02
  5. Step 5: Solve for x
    x = 312,455.02/482.36
  6. Step 6: Final answer
    x = 647.77

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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.