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Finding the Fourth Proportional to 665.42, 917.80 and 429.44

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Solution

The fourth proportional to 665.42, 917.80 and 429.44 is: 592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.42 : 917.80 = 429.44 : x
  2. Step 2: Convert to fraction form
    665.42/917.80 = 429.44/x
  3. Step 3: Cross multiply
    665.42x = 917.80 × 429.44
  4. Step 4: Simplify right side
    665.42x = 394,140.03
  5. Step 5: Solve for x
    x = 394,140.03/665.42
  6. Step 6: Final answer
    x = 592.32

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1.5x scale

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.