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Finding the Fourth Proportional to 907.44, 1,366.18 and 782.16

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Solution

The fourth proportional to 907.44, 1,366.18 and 782.16 is: 1,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.44 : 1,366.18 = 782.16 : x
  2. Step 2: Convert to fraction form
    907.44/1,366.18 = 782.16/x
  3. Step 3: Cross multiply
    907.44x = 1,366.18 × 782.16
  4. Step 4: Simplify right side
    907.44x = 1,068,571.35
  5. Step 5: Solve for x
    x = 1,068,571.35/907.44
  6. Step 6: Final answer
    x = 1,177.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.