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Finding the Fourth Proportional to 665.82, 916.83 and 572.43

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Solution

The fourth proportional to 665.82, 916.83 and 572.43 is: 788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 916.83 = 572.43 : x
  2. Step 2: Convert to fraction form
    665.82/916.83 = 572.43/x
  3. Step 3: Cross multiply
    665.82x = 916.83 × 572.43
  4. Step 4: Simplify right side
    665.82x = 524,821.00
  5. Step 5: Solve for x
    x = 524,821.00/665.82
  6. Step 6: Final answer
    x = 788.23

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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.