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Finding the Fourth Proportional to 935.94, 1,404.06 and 319.50

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Solution

The fourth proportional to 935.94, 1,404.06 and 319.50 is: 479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.94 : 1,404.06 = 319.50 : x
  2. Step 2: Convert to fraction form
    935.94/1,404.06 = 319.50/x
  3. Step 3: Cross multiply
    935.94x = 1,404.06 × 319.50
  4. Step 4: Simplify right side
    935.94x = 448,597.17
  5. Step 5: Solve for x
    x = 448,597.17/935.94
  6. Step 6: Final answer
    x = 479.30

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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.