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Finding the Fourth Proportional to 649.64, 973.90 and 259.91

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Solution

The fourth proportional to 649.64, 973.90 and 259.91 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 973.90 = 259.91 : x
  2. Step 2: Convert to fraction form
    649.64/973.90 = 259.91/x
  3. Step 3: Cross multiply
    649.64x = 973.90 × 259.91
  4. Step 4: Simplify right side
    649.64x = 253,126.35
  5. Step 5: Solve for x
    x = 253,126.35/649.64
  6. Step 6: Final answer
    x = 389.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.