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Finding the Fourth Proportional to 1,225.54, 1,702.65 and 1,210.96

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Solution

The fourth proportional to 1,225.54, 1,702.65 and 1,210.96 is: 1,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.54 : 1,702.65 = 1,210.96 : x
  2. Step 2: Convert to fraction form
    1,225.54/1,702.65 = 1,210.96/x
  3. Step 3: Cross multiply
    1,225.54x = 1,702.65 × 1,210.96
  4. Step 4: Simplify right side
    1,225.54x = 2,061,841.04
  5. Step 5: Solve for x
    x = 2,061,841.04/1,225.54
  6. Step 6: Final answer
    x = 1,682.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.