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Finding the Fourth Proportional to 935.14, 1,400.84 and 471.56

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Solution

The fourth proportional to 935.14, 1,400.84 and 471.56 is: 706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.14 : 1,400.84 = 471.56 : x
  2. Step 2: Convert to fraction form
    935.14/1,400.84 = 471.56/x
  3. Step 3: Cross multiply
    935.14x = 1,400.84 × 471.56
  4. Step 4: Simplify right side
    935.14x = 660,580.11
  5. Step 5: Solve for x
    x = 660,580.11/935.14
  6. Step 6: Final answer
    x = 706.40

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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.