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Finding the Fourth Proportional to 501.42, 690.63 and 431.34

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Solution

The fourth proportional to 501.42, 690.63 and 431.34 is: 594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.42 : 690.63 = 431.34 : x
  2. Step 2: Convert to fraction form
    501.42/690.63 = 431.34/x
  3. Step 3: Cross multiply
    501.42x = 690.63 × 431.34
  4. Step 4: Simplify right side
    501.42x = 297,896.34
  5. Step 5: Solve for x
    x = 297,896.34/501.42
  6. Step 6: Final answer
    x = 594.11

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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.