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Finding the Fourth Proportional to 458, 682.83 and 430.46

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Solution

The fourth proportional to 458, 682.83 and 430.46 is: 641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 682.83 = 430.46 : x
  2. Step 2: Convert to fraction form
    458/682.83 = 430.46/x
  3. Step 3: Cross multiply
    458x = 682.83 × 430.46
  4. Step 4: Simplify right side
    458x = 293,931.00
  5. Step 5: Solve for x
    x = 293,931.00/458
  6. Step 6: Final answer
    x = 641.77

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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.