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Finding the Fourth Proportional to 1,283.49, 1,925.57 and 552.89

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Solution

The fourth proportional to 1,283.49, 1,925.57 and 552.89 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.49 : 1,925.57 = 552.89 : x
  2. Step 2: Convert to fraction form
    1,283.49/1,925.57 = 552.89/x
  3. Step 3: Cross multiply
    1,283.49x = 1,925.57 × 552.89
  4. Step 4: Simplify right side
    1,283.49x = 1,064,634.59
  5. Step 5: Solve for x
    x = 1,064,634.59/1,283.49
  6. Step 6: Final answer
    x = 829.48

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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.