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Finding the Fourth Proportional to 860.86, 1,291.29 and 347.50

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Solution

The fourth proportional to 860.86, 1,291.29 and 347.50 is: 521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.86 : 1,291.29 = 347.50 : x
  2. Step 2: Convert to fraction form
    860.86/1,291.29 = 347.50/x
  3. Step 3: Cross multiply
    860.86x = 1,291.29 × 347.50
  4. Step 4: Simplify right side
    860.86x = 448,723.28
  5. Step 5: Solve for x
    x = 448,723.28/860.86
  6. Step 6: Final answer
    x = 521.25

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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.