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Finding the Fourth Proportional to 1,134.95, 1,701.18 and 646.93

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Solution

The fourth proportional to 1,134.95, 1,701.18 and 646.93 is: 969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.95 : 1,701.18 = 646.93 : x
  2. Step 2: Convert to fraction form
    1,134.95/1,701.18 = 646.93/x
  3. Step 3: Cross multiply
    1,134.95x = 1,701.18 × 646.93
  4. Step 4: Simplify right side
    1,134.95x = 1,100,540.12
  5. Step 5: Solve for x
    x = 1,100,540.12/1,134.95
  6. Step 6: Final answer
    x = 969.68

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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.