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Finding the Fourth Proportional to 663.72, 915.08 and 427.26

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Solution

The fourth proportional to 663.72, 915.08 and 427.26 is: 589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.72 : 915.08 = 427.26 : x
  2. Step 2: Convert to fraction form
    663.72/915.08 = 427.26/x
  3. Step 3: Cross multiply
    663.72x = 915.08 × 427.26
  4. Step 4: Simplify right side
    663.72x = 390,977.08
  5. Step 5: Solve for x
    x = 390,977.08/663.72
  6. Step 6: Final answer
    x = 589.07

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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.