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Finding the Fourth Proportional to 1,282.88, 1,925.60 and 997.44

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Solution

The fourth proportional to 1,282.88, 1,925.60 and 997.44 is: 1,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.88 : 1,925.60 = 997.44 : x
  2. Step 2: Convert to fraction form
    1,282.88/1,925.60 = 997.44/x
  3. Step 3: Cross multiply
    1,282.88x = 1,925.60 × 997.44
  4. Step 4: Simplify right side
    1,282.88x = 1,920,670.46
  5. Step 5: Solve for x
    x = 1,920,670.46/1,282.88
  6. Step 6: Final answer
    x = 1,497.16

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1.5x scale

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.