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Finding the Fourth Proportional to 456.43, 630.18 and 407.23

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Solution

The fourth proportional to 456.43, 630.18 and 407.23 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.43 : 630.18 = 407.23 : x
  2. Step 2: Convert to fraction form
    456.43/630.18 = 407.23/x
  3. Step 3: Cross multiply
    456.43x = 630.18 × 407.23
  4. Step 4: Simplify right side
    456.43x = 256,628.20
  5. Step 5: Solve for x
    x = 256,628.20/456.43
  6. Step 6: Final answer
    x = 562.25

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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.