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Finding the Fourth Proportional to 860.34, 1,288.89 and 448.86

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Solution

The fourth proportional to 860.34, 1,288.89 and 448.86 is: 672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.34 : 1,288.89 = 448.86 : x
  2. Step 2: Convert to fraction form
    860.34/1,288.89 = 448.86/x
  3. Step 3: Cross multiply
    860.34x = 1,288.89 × 448.86
  4. Step 4: Simplify right side
    860.34x = 578,531.17
  5. Step 5: Solve for x
    x = 578,531.17/860.34
  6. Step 6: Final answer
    x = 672.44

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1.5x scale

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.