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Finding the Fourth Proportional to 473.24, 705.24 and 457.76

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Solution

The fourth proportional to 473.24, 705.24 and 457.76 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 705.24 = 457.76 : x
  2. Step 2: Convert to fraction form
    473.24/705.24 = 457.76/x
  3. Step 3: Cross multiply
    473.24x = 705.24 × 457.76
  4. Step 4: Simplify right side
    473.24x = 322,830.66
  5. Step 5: Solve for x
    x = 322,830.66/473.24
  6. Step 6: Final answer
    x = 682.17

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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.