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Finding the Fourth Proportional to 459.31, 633.53 and 430.99

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Solution

The fourth proportional to 459.31, 633.53 and 430.99 is: 594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.31 : 633.53 = 430.99 : x
  2. Step 2: Convert to fraction form
    459.31/633.53 = 430.99/x
  3. Step 3: Cross multiply
    459.31x = 633.53 × 430.99
  4. Step 4: Simplify right side
    459.31x = 273,042.94
  5. Step 5: Solve for x
    x = 273,042.94/459.31
  6. Step 6: Final answer
    x = 594.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.