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Finding the Fourth Proportional to 1,740.64, 2,402.08 and 954.68

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Solution

The fourth proportional to 1,740.64, 2,402.08 and 954.68 is: 1,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.64 : 2,402.08 = 954.68 : x
  2. Step 2: Convert to fraction form
    1,740.64/2,402.08 = 954.68/x
  3. Step 3: Cross multiply
    1,740.64x = 2,402.08 × 954.68
  4. Step 4: Simplify right side
    1,740.64x = 2,293,217.73
  5. Step 5: Solve for x
    x = 2,293,217.73/1,740.64
  6. Step 6: Final answer
    x = 1,317.46

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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.