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Finding the Fourth Proportional to 457.28, 688.40 and 417.60

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Solution

The fourth proportional to 457.28, 688.40 and 417.60 is: 628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.28 : 688.40 = 417.60 : x
  2. Step 2: Convert to fraction form
    457.28/688.40 = 417.60/x
  3. Step 3: Cross multiply
    457.28x = 688.40 × 417.60
  4. Step 4: Simplify right side
    457.28x = 287,475.84
  5. Step 5: Solve for x
    x = 287,475.84/457.28
  6. Step 6: Final answer
    x = 628.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.