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Finding the Fourth Proportional to 1,087, 1,629.42 and 508.84

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Solution

The fourth proportional to 1,087, 1,629.42 and 508.84 is: 762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087 : 1,629.42 = 508.84 : x
  2. Step 2: Convert to fraction form
    1,087/1,629.42 = 508.84/x
  3. Step 3: Cross multiply
    1,087x = 1,629.42 × 508.84
  4. Step 4: Simplify right side
    1,087x = 829,114.07
  5. Step 5: Solve for x
    x = 829,114.07/1,087
  6. Step 6: Final answer
    x = 762.75

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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.