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Finding the Fourth Proportional to 664.23, 916.47 and 402.20

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Solution

The fourth proportional to 664.23, 916.47 and 402.20 is: 554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.23 : 916.47 = 402.20 : x
  2. Step 2: Convert to fraction form
    664.23/916.47 = 402.20/x
  3. Step 3: Cross multiply
    664.23x = 916.47 × 402.20
  4. Step 4: Simplify right side
    664.23x = 368,599.65
  5. Step 5: Solve for x
    x = 368,599.65/664.23
  6. Step 6: Final answer
    x = 554.93

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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.