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Finding the Fourth Proportional to 1,113.87, 1,670.78 and 646.04

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Solution

The fourth proportional to 1,113.87, 1,670.78 and 646.04 is: 969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.87 : 1,670.78 = 646.04 : x
  2. Step 2: Convert to fraction form
    1,113.87/1,670.78 = 646.04/x
  3. Step 3: Cross multiply
    1,113.87x = 1,670.78 × 646.04
  4. Step 4: Simplify right side
    1,113.87x = 1,079,395.59
  5. Step 5: Solve for x
    x = 1,079,395.59/1,113.87
  6. Step 6: Final answer
    x = 969.05

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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.