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Finding the Fourth Proportional to 482.16, 718.70 and 429.83

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Solution

The fourth proportional to 482.16, 718.70 and 429.83 is: 640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 718.70 = 429.83 : x
  2. Step 2: Convert to fraction form
    482.16/718.70 = 429.83/x
  3. Step 3: Cross multiply
    482.16x = 718.70 × 429.83
  4. Step 4: Simplify right side
    482.16x = 308,913.08
  5. Step 5: Solve for x
    x = 308,913.08/482.16
  6. Step 6: Final answer
    x = 640.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.