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Finding the Fourth Proportional to 664, 916.24 and 369.24

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Solution

The fourth proportional to 664, 916.24 and 369.24 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    664 : 916.24 = 369.24 : x
  2. Step 2: Convert to fraction form
    664/916.24 = 369.24/x
  3. Step 3: Cross multiply
    664x = 916.24 × 369.24
  4. Step 4: Simplify right side
    664x = 338,312.46
  5. Step 5: Solve for x
    x = 338,312.46/664
  6. Step 6: Final answer
    x = 509.51

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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.