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Finding the Fourth Proportional to 509.09, 702.61 and 288.12

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Solution

The fourth proportional to 509.09, 702.61 and 288.12 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.09 : 702.61 = 288.12 : x
  2. Step 2: Convert to fraction form
    509.09/702.61 = 288.12/x
  3. Step 3: Cross multiply
    509.09x = 702.61 × 288.12
  4. Step 4: Simplify right side
    509.09x = 202,437.91
  5. Step 5: Solve for x
    x = 202,437.91/509.09
  6. Step 6: Final answer
    x = 397.65

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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.