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Finding the Fourth Proportional to 421.21, 627.53 and 410.16

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Solution

The fourth proportional to 421.21, 627.53 and 410.16 is: 611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.21 : 627.53 = 410.16 : x
  2. Step 2: Convert to fraction form
    421.21/627.53 = 410.16/x
  3. Step 3: Cross multiply
    421.21x = 627.53 × 410.16
  4. Step 4: Simplify right side
    421.21x = 257,387.70
  5. Step 5: Solve for x
    x = 257,387.70/421.21
  6. Step 6: Final answer
    x = 611.07

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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.