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Finding the Fourth Proportional to 860.93, 1,187.56 and 546.04

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Solution

The fourth proportional to 860.93, 1,187.56 and 546.04 is: 753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.93 : 1,187.56 = 546.04 : x
  2. Step 2: Convert to fraction form
    860.93/1,187.56 = 546.04/x
  3. Step 3: Cross multiply
    860.93x = 1,187.56 × 546.04
  4. Step 4: Simplify right side
    860.93x = 648,457.43
  5. Step 5: Solve for x
    x = 648,457.43/860.93
  6. Step 6: Final answer
    x = 753.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.