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Finding the Fourth Proportional to 663.75, 916.00 and 431.28

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Solution

The fourth proportional to 663.75, 916.00 and 431.28 is: 595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.75 : 916.00 = 431.28 : x
  2. Step 2: Convert to fraction form
    663.75/916.00 = 431.28/x
  3. Step 3: Cross multiply
    663.75x = 916.00 × 431.28
  4. Step 4: Simplify right side
    663.75x = 395,051.40
  5. Step 5: Solve for x
    x = 395,051.40/663.75
  6. Step 6: Final answer
    x = 595.18

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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.