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Finding the Fourth Proportional to 917.42, 1,265.62 and 638.32

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Solution

The fourth proportional to 917.42, 1,265.62 and 638.32 is: 880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.42 : 1,265.62 = 638.32 : x
  2. Step 2: Convert to fraction form
    917.42/1,265.62 = 638.32/x
  3. Step 3: Cross multiply
    917.42x = 1,265.62 × 638.32
  4. Step 4: Simplify right side
    917.42x = 807,870.56
  5. Step 5: Solve for x
    x = 807,870.56/917.42
  6. Step 6: Final answer
    x = 880.59

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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.