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Finding the Fourth Proportional to 1,283.14, 1,925.57 and 552.78

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Solution

The fourth proportional to 1,283.14, 1,925.57 and 552.78 is: 829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.14 : 1,925.57 = 552.78 : x
  2. Step 2: Convert to fraction form
    1,283.14/1,925.57 = 552.78/x
  3. Step 3: Cross multiply
    1,283.14x = 1,925.57 × 552.78
  4. Step 4: Simplify right side
    1,283.14x = 1,064,416.58
  5. Step 5: Solve for x
    x = 1,064,416.58/1,283.14
  6. Step 6: Final answer
    x = 829.54

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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.