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Finding the Fourth Proportional to 931.81, 1,394.80 and 602.31

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Solution

The fourth proportional to 931.81, 1,394.80 and 602.31 is: 901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.81 : 1,394.80 = 602.31 : x
  2. Step 2: Convert to fraction form
    931.81/1,394.80 = 602.31/x
  3. Step 3: Cross multiply
    931.81x = 1,394.80 × 602.31
  4. Step 4: Simplify right side
    931.81x = 840,101.99
  5. Step 5: Solve for x
    x = 840,101.99/931.81
  6. Step 6: Final answer
    x = 901.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.