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Finding the Fourth Proportional to 1,235.56, 1,702.72 and 885.64

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Solution

The fourth proportional to 1,235.56, 1,702.72 and 885.64 is: 1,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.56 : 1,702.72 = 885.64 : x
  2. Step 2: Convert to fraction form
    1,235.56/1,702.72 = 885.64/x
  3. Step 3: Cross multiply
    1,235.56x = 1,702.72 × 885.64
  4. Step 4: Simplify right side
    1,235.56x = 1,507,996.94
  5. Step 5: Solve for x
    x = 1,507,996.94/1,235.56
  6. Step 6: Final answer
    x = 1,220.50

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1.5x scale

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.