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Finding the Fourth Proportional to 1,282.24, 1,770.08 and 840.16

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Solution

The fourth proportional to 1,282.24, 1,770.08 and 840.16 is: 1,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.24 : 1,770.08 = 840.16 : x
  2. Step 2: Convert to fraction form
    1,282.24/1,770.08 = 840.16/x
  3. Step 3: Cross multiply
    1,282.24x = 1,770.08 × 840.16
  4. Step 4: Simplify right side
    1,282.24x = 1,487,150.41
  5. Step 5: Solve for x
    x = 1,487,150.41/1,282.24
  6. Step 6: Final answer
    x = 1,159.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.