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Finding the Fourth Proportional to 474.43, 707.45 and 457.51

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Solution

The fourth proportional to 474.43, 707.45 and 457.51 is: 682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.43 : 707.45 = 457.51 : x
  2. Step 2: Convert to fraction form
    474.43/707.45 = 457.51/x
  3. Step 3: Cross multiply
    474.43x = 707.45 × 457.51
  4. Step 4: Simplify right side
    474.43x = 323,662.48
  5. Step 5: Solve for x
    x = 323,662.48/474.43
  6. Step 6: Final answer
    x = 682.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.