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Finding the Fourth Proportional to 860.74, 1,186.41 and 598.30

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Solution

The fourth proportional to 860.74, 1,186.41 and 598.30 is: 824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.74 : 1,186.41 = 598.30 : x
  2. Step 2: Convert to fraction form
    860.74/1,186.41 = 598.30/x
  3. Step 3: Cross multiply
    860.74x = 1,186.41 × 598.30
  4. Step 4: Simplify right side
    860.74x = 709,829.10
  5. Step 5: Solve for x
    x = 709,829.10/860.74
  6. Step 6: Final answer
    x = 824.67

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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.