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Finding the Fourth Proportional to 430.12, 641.93 and 412.48

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Solution

The fourth proportional to 430.12, 641.93 and 412.48 is: 615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 641.93 = 412.48 : x
  2. Step 2: Convert to fraction form
    430.12/641.93 = 412.48/x
  3. Step 3: Cross multiply
    430.12x = 641.93 × 412.48
  4. Step 4: Simplify right side
    430.12x = 264,783.29
  5. Step 5: Solve for x
    x = 264,783.29/430.12
  6. Step 6: Final answer
    x = 615.60

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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.