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Finding the Fourth Proportional to 917.24, 1,265.96 and 601.94

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Solution

The fourth proportional to 917.24, 1,265.96 and 601.94 is: 830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.24 : 1,265.96 = 601.94 : x
  2. Step 2: Convert to fraction form
    917.24/1,265.96 = 601.94/x
  3. Step 3: Cross multiply
    917.24x = 1,265.96 × 601.94
  4. Step 4: Simplify right side
    917.24x = 762,036.63
  5. Step 5: Solve for x
    x = 762,036.63/917.24
  6. Step 6: Final answer
    x = 830.80

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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.