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Finding the Fourth Proportional to 665.32, 918.16 and 468.90

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Solution

The fourth proportional to 665.32, 918.16 and 468.90 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.32 : 918.16 = 468.90 : x
  2. Step 2: Convert to fraction form
    665.32/918.16 = 468.90/x
  3. Step 3: Cross multiply
    665.32x = 918.16 × 468.90
  4. Step 4: Simplify right side
    665.32x = 430,525.22
  5. Step 5: Solve for x
    x = 430,525.22/665.32
  6. Step 6: Final answer
    x = 647.09

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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.