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Finding the Fourth Proportional to 509.49, 702.99 and 288.42

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Solution

The fourth proportional to 509.49, 702.99 and 288.42 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 702.99 = 288.42 : x
  2. Step 2: Convert to fraction form
    509.49/702.99 = 288.42/x
  3. Step 3: Cross multiply
    509.49x = 702.99 × 288.42
  4. Step 4: Simplify right side
    509.49x = 202,756.38
  5. Step 5: Solve for x
    x = 202,756.38/509.49
  6. Step 6: Final answer
    x = 397.96

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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.