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Finding the Fourth Proportional to 935.13, 1,400.47 and 544.31

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Solution

The fourth proportional to 935.13, 1,400.47 and 544.31 is: 815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.13 : 1,400.47 = 544.31 : x
  2. Step 2: Convert to fraction form
    935.13/1,400.47 = 544.31/x
  3. Step 3: Cross multiply
    935.13x = 1,400.47 × 544.31
  4. Step 4: Simplify right side
    935.13x = 762,289.83
  5. Step 5: Solve for x
    x = 762,289.83/935.13
  6. Step 6: Final answer
    x = 815.17

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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.