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Finding the Fourth Proportional to 978.62, 1,465.29 and 824.18

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Solution

The fourth proportional to 978.62, 1,465.29 and 824.18 is: 1,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.62 : 1,465.29 = 824.18 : x
  2. Step 2: Convert to fraction form
    978.62/1,465.29 = 824.18/x
  3. Step 3: Cross multiply
    978.62x = 1,465.29 × 824.18
  4. Step 4: Simplify right side
    978.62x = 1,207,655.39
  5. Step 5: Solve for x
    x = 1,207,655.39/978.62
  6. Step 6: Final answer
    x = 1,234.05

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