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Finding the Fourth Proportional to 665.16, 917.65 and 429.06

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Solution

The fourth proportional to 665.16, 917.65 and 429.06 is: 591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 917.65 = 429.06 : x
  2. Step 2: Convert to fraction form
    665.16/917.65 = 429.06/x
  3. Step 3: Cross multiply
    665.16x = 917.65 × 429.06
  4. Step 4: Simplify right side
    665.16x = 393,726.91
  5. Step 5: Solve for x
    x = 393,726.91/665.16
  6. Step 6: Final answer
    x = 591.93

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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.