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Finding the Fourth Proportional to 458.01, 683.21 and 430.07

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Solution

The fourth proportional to 458.01, 683.21 and 430.07 is: 641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.01 : 683.21 = 430.07 : x
  2. Step 2: Convert to fraction form
    458.01/683.21 = 430.07/x
  3. Step 3: Cross multiply
    458.01x = 683.21 × 430.07
  4. Step 4: Simplify right side
    458.01x = 293,825.78
  5. Step 5: Solve for x
    x = 293,825.78/458.01
  6. Step 6: Final answer
    x = 641.53

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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.