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Finding the Fourth Proportional to 584.12, 875.90 and 340.70

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Solution

The fourth proportional to 584.12, 875.90 and 340.70 is: 510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.12 : 875.90 = 340.70 : x
  2. Step 2: Convert to fraction form
    584.12/875.90 = 340.70/x
  3. Step 3: Cross multiply
    584.12x = 875.90 × 340.70
  4. Step 4: Simplify right side
    584.12x = 298,419.13
  5. Step 5: Solve for x
    x = 298,419.13/584.12
  6. Step 6: Final answer
    x = 510.89

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