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Finding the Fourth Proportional to 1,087.58, 1,628.40 and 573.50

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Solution

The fourth proportional to 1,087.58, 1,628.40 and 573.50 is: 858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.58 : 1,628.40 = 573.50 : x
  2. Step 2: Convert to fraction form
    1,087.58/1,628.40 = 573.50/x
  3. Step 3: Cross multiply
    1,087.58x = 1,628.40 × 573.50
  4. Step 4: Simplify right side
    1,087.58x = 933,887.40
  5. Step 5: Solve for x
    x = 933,887.40/1,087.58
  6. Step 6: Final answer
    x = 858.68

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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.