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Finding the Fourth Proportional to 860.64, 1,291.68 and 690.72

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Solution

The fourth proportional to 860.64, 1,291.68 and 690.72 is: 1,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.64 : 1,291.68 = 690.72 : x
  2. Step 2: Convert to fraction form
    860.64/1,291.68 = 690.72/x
  3. Step 3: Cross multiply
    860.64x = 1,291.68 × 690.72
  4. Step 4: Simplify right side
    860.64x = 892,189.21
  5. Step 5: Solve for x
    x = 892,189.21/860.64
  6. Step 6: Final answer
    x = 1,036.66

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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.