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Finding the Fourth Proportional to 509, 702.66 and 490.76

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Solution

The fourth proportional to 509, 702.66 and 490.76 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 702.66 = 490.76 : x
  2. Step 2: Convert to fraction form
    509/702.66 = 490.76/x
  3. Step 3: Cross multiply
    509x = 702.66 × 490.76
  4. Step 4: Simplify right side
    509x = 344,837.42
  5. Step 5: Solve for x
    x = 344,837.42/509
  6. Step 6: Final answer
    x = 677.48

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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.