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Finding the Fourth Proportional to 457.43, 632.01 and 430.02

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Solution

The fourth proportional to 457.43, 632.01 and 430.02 is: 594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.43 : 632.01 = 430.02 : x
  2. Step 2: Convert to fraction form
    457.43/632.01 = 430.02/x
  3. Step 3: Cross multiply
    457.43x = 632.01 × 430.02
  4. Step 4: Simplify right side
    457.43x = 271,776.94
  5. Step 5: Solve for x
    x = 271,776.94/457.43
  6. Step 6: Final answer
    x = 594.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.