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Finding the Fourth Proportional to 860.45, 1,187.04 and 510.94

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Solution

The fourth proportional to 860.45, 1,187.04 and 510.94 is: 704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.45 : 1,187.04 = 510.94 : x
  2. Step 2: Convert to fraction form
    860.45/1,187.04 = 510.94/x
  3. Step 3: Cross multiply
    860.45x = 1,187.04 × 510.94
  4. Step 4: Simplify right side
    860.45x = 606,505.17
  5. Step 5: Solve for x
    x = 606,505.17/860.45
  6. Step 6: Final answer
    x = 704.87

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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.