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Finding the Fourth Proportional to 935.16, 1,400.96 and 782.06

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Solution

The fourth proportional to 935.16, 1,400.96 and 782.06 is: 1,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.16 : 1,400.96 = 782.06 : x
  2. Step 2: Convert to fraction form
    935.16/1,400.96 = 782.06/x
  3. Step 3: Cross multiply
    935.16x = 1,400.96 × 782.06
  4. Step 4: Simplify right side
    935.16x = 1,095,634.78
  5. Step 5: Solve for x
    x = 1,095,634.78/935.16
  6. Step 6: Final answer
    x = 1,171.60

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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.