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Finding the Fourth Proportional to 457.63, 631.47 and 258.45

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Solution

The fourth proportional to 457.63, 631.47 and 258.45 is: 356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.63 : 631.47 = 258.45 : x
  2. Step 2: Convert to fraction form
    457.63/631.47 = 258.45/x
  3. Step 3: Cross multiply
    457.63x = 631.47 × 258.45
  4. Step 4: Simplify right side
    457.63x = 163,202.02
  5. Step 5: Solve for x
    x = 163,202.02/457.63
  6. Step 6: Final answer
    x = 356.62

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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.