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Finding the Fourth Proportional to 847.18, 1,168.92 and 536.50

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Solution

The fourth proportional to 847.18, 1,168.92 and 536.50 is: 740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.18 : 1,168.92 = 536.50 : x
  2. Step 2: Convert to fraction form
    847.18/1,168.92 = 536.50/x
  3. Step 3: Cross multiply
    847.18x = 1,168.92 × 536.50
  4. Step 4: Simplify right side
    847.18x = 627,125.58
  5. Step 5: Solve for x
    x = 627,125.58/847.18
  6. Step 6: Final answer
    x = 740.25

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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.