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Finding the Fourth Proportional to 664.02, 916.38 and 508.50

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Solution

The fourth proportional to 664.02, 916.38 and 508.50 is: 701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.02 : 916.38 = 508.50 : x
  2. Step 2: Convert to fraction form
    664.02/916.38 = 508.50/x
  3. Step 3: Cross multiply
    664.02x = 916.38 × 508.50
  4. Step 4: Simplify right side
    664.02x = 465,979.23
  5. Step 5: Solve for x
    x = 465,979.23/664.02
  6. Step 6: Final answer
    x = 701.75

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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.