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Finding the Fourth Proportional to 509.24, 702.77 and 288.18

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Solution

The fourth proportional to 509.24, 702.77 and 288.18 is: 397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 702.77 = 288.18 : x
  2. Step 2: Convert to fraction form
    509.24/702.77 = 288.18/x
  3. Step 3: Cross multiply
    509.24x = 702.77 × 288.18
  4. Step 4: Simplify right side
    509.24x = 202,524.26
  5. Step 5: Solve for x
    x = 202,524.26/509.24
  6. Step 6: Final answer
    x = 397.70

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