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Finding the Fourth Proportional to 935.95, 1,407 and 782.18

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Solution

The fourth proportional to 935.95, 1,407 and 782.18 is: 1,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.95 : 1,407 = 782.18 : x
  2. Step 2: Convert to fraction form
    935.95/1,407 = 782.18/x
  3. Step 3: Cross multiply
    935.95x = 1,407 × 782.18
  4. Step 4: Simplify right side
    935.95x = 1,100,520.23
  5. Step 5: Solve for x
    x = 1,100,520.23/935.95
  6. Step 6: Final answer
    x = 1,175.84

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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.