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Finding the Fourth Proportional to 665.83, 918.96 and 508.17

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Solution

The fourth proportional to 665.83, 918.96 and 508.17 is: 701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.83 : 918.96 = 508.17 : x
  2. Step 2: Convert to fraction form
    665.83/918.96 = 508.17/x
  3. Step 3: Cross multiply
    665.83x = 918.96 × 508.17
  4. Step 4: Simplify right side
    665.83x = 466,983.31
  5. Step 5: Solve for x
    x = 466,983.31/665.83
  6. Step 6: Final answer
    x = 701.36

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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.