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Finding the Fourth Proportional to 941.60, 1,402.38 and 907.58

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Solution

The fourth proportional to 941.60, 1,402.38 and 907.58 is: 1,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.60 : 1,402.38 = 907.58 : x
  2. Step 2: Convert to fraction form
    941.60/1,402.38 = 907.58/x
  3. Step 3: Cross multiply
    941.60x = 1,402.38 × 907.58
  4. Step 4: Simplify right side
    941.60x = 1,272,772.04
  5. Step 5: Solve for x
    x = 1,272,772.04/941.60
  6. Step 6: Final answer
    x = 1,351.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.