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Finding the Fourth Proportional to 1,271.50, 1,907.50 and 587.50

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Solution

The fourth proportional to 1,271.50, 1,907.50 and 587.50 is: 881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.50 : 1,907.50 = 587.50 : x
  2. Step 2: Convert to fraction form
    1,271.50/1,907.50 = 587.50/x
  3. Step 3: Cross multiply
    1,271.50x = 1,907.50 × 587.50
  4. Step 4: Simplify right side
    1,271.50x = 1,120,656.25
  5. Step 5: Solve for x
    x = 1,120,656.25/1,271.50
  6. Step 6: Final answer
    x = 881.37

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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.