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Finding the Fourth Proportional to 474.23, 715.63 and 457.07

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Solution

The fourth proportional to 474.23, 715.63 and 457.07 is: 689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.23 : 715.63 = 457.07 : x
  2. Step 2: Convert to fraction form
    474.23/715.63 = 457.07/x
  3. Step 3: Cross multiply
    474.23x = 715.63 × 457.07
  4. Step 4: Simplify right side
    474.23x = 327,093.00
  5. Step 5: Solve for x
    x = 327,093.00/474.23
  6. Step 6: Final answer
    x = 689.73

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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.