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Finding the Fourth Proportional to 430.31, 639.94 and 416.64

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Solution

The fourth proportional to 430.31, 639.94 and 416.64 is: 619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.31 : 639.94 = 416.64 : x
  2. Step 2: Convert to fraction form
    430.31/639.94 = 416.64/x
  3. Step 3: Cross multiply
    430.31x = 639.94 × 416.64
  4. Step 4: Simplify right side
    430.31x = 266,619.32
  5. Step 5: Solve for x
    x = 266,619.32/430.31
  6. Step 6: Final answer
    x = 619.61

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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.