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Finding the Fourth Proportional to 474.23, 710.37 and 457.40

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Solution

The fourth proportional to 474.23, 710.37 and 457.40 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.23 : 710.37 = 457.40 : x
  2. Step 2: Convert to fraction form
    474.23/710.37 = 457.40/x
  3. Step 3: Cross multiply
    474.23x = 710.37 × 457.40
  4. Step 4: Simplify right side
    474.23x = 324,919.69
  5. Step 5: Solve for x
    x = 324,919.69/474.23
  6. Step 6: Final answer
    x = 685.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.