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Finding the Fourth Proportional to 491.72, 738.80 and 430.96

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Solution

The fourth proportional to 491.72, 738.80 and 430.96 is: 647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 738.80 = 430.96 : x
  2. Step 2: Convert to fraction form
    491.72/738.80 = 430.96/x
  3. Step 3: Cross multiply
    491.72x = 738.80 × 430.96
  4. Step 4: Simplify right side
    491.72x = 318,393.25
  5. Step 5: Solve for x
    x = 318,393.25/491.72
  6. Step 6: Final answer
    x = 647.51

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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.