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Finding the Fourth Proportional to 459.57, 637.50 and 434.97

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Solution

The fourth proportional to 459.57, 637.50 and 434.97 is: 603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 637.50 = 434.97 : x
  2. Step 2: Convert to fraction form
    459.57/637.50 = 434.97/x
  3. Step 3: Cross multiply
    459.57x = 637.50 × 434.97
  4. Step 4: Simplify right side
    459.57x = 277,291.34
  5. Step 5: Solve for x
    x = 277,291.34/459.57
  6. Step 6: Final answer
    x = 603.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.