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Finding the Fourth Proportional to 1,187.85, 1,779.21 and 862.50

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Solution

The fourth proportional to 1,187.85, 1,779.21 and 862.50 is: 1,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.85 : 1,779.21 = 862.50 : x
  2. Step 2: Convert to fraction form
    1,187.85/1,779.21 = 862.50/x
  3. Step 3: Cross multiply
    1,187.85x = 1,779.21 × 862.50
  4. Step 4: Simplify right side
    1,187.85x = 1,534,568.63
  5. Step 5: Solve for x
    x = 1,534,568.63/1,187.85
  6. Step 6: Final answer
    x = 1,291.89

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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.