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Finding the Fourth Proportional to 491.31, 735.52 and 430.56

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Solution

The fourth proportional to 491.31, 735.52 and 430.56 is: 644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.31 : 735.52 = 430.56 : x
  2. Step 2: Convert to fraction form
    491.31/735.52 = 430.56/x
  3. Step 3: Cross multiply
    491.31x = 735.52 × 430.56
  4. Step 4: Simplify right side
    491.31x = 316,685.49
  5. Step 5: Solve for x
    x = 316,685.49/491.31
  6. Step 6: Final answer
    x = 644.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.