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Finding the Fourth Proportional to 665.95, 918.03 and 429.88

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Solution

The fourth proportional to 665.95, 918.03 and 429.88 is: 592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.95 : 918.03 = 429.88 : x
  2. Step 2: Convert to fraction form
    665.95/918.03 = 429.88/x
  3. Step 3: Cross multiply
    665.95x = 918.03 × 429.88
  4. Step 4: Simplify right side
    665.95x = 394,643.64
  5. Step 5: Solve for x
    x = 394,643.64/665.95
  6. Step 6: Final answer
    x = 592.60

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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.