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Finding the Fourth Proportional to 457.70, 688.86 and 412.96

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Solution

The fourth proportional to 457.70, 688.86 and 412.96 is: 621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.70 : 688.86 = 412.96 : x
  2. Step 2: Convert to fraction form
    457.70/688.86 = 412.96/x
  3. Step 3: Cross multiply
    457.70x = 688.86 × 412.96
  4. Step 4: Simplify right side
    457.70x = 284,471.63
  5. Step 5: Solve for x
    x = 284,471.63/457.70
  6. Step 6: Final answer
    x = 621.52

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1.5x scale

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.