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Finding the Fourth Proportional to 457.26, 630.56 and 407.30

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Solution

The fourth proportional to 457.26, 630.56 and 407.30 is: 561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 630.56 = 407.30 : x
  2. Step 2: Convert to fraction form
    457.26/630.56 = 407.30/x
  3. Step 3: Cross multiply
    457.26x = 630.56 × 407.30
  4. Step 4: Simplify right side
    457.26x = 256,827.09
  5. Step 5: Solve for x
    x = 256,827.09/457.26
  6. Step 6: Final answer
    x = 561.67

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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.