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Finding the Fourth Proportional to 1,055.97, 1,583.48 and 362.45

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Solution

The fourth proportional to 1,055.97, 1,583.48 and 362.45 is: 543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.97 : 1,583.48 = 362.45 : x
  2. Step 2: Convert to fraction form
    1,055.97/1,583.48 = 362.45/x
  3. Step 3: Cross multiply
    1,055.97x = 1,583.48 × 362.45
  4. Step 4: Simplify right side
    1,055.97x = 573,922.60
  5. Step 5: Solve for x
    x = 573,922.60/1,055.97
  6. Step 6: Final answer
    x = 543.50

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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.