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Finding the Fourth Proportional to 641.00, 880.74 and 509.78

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Solution

The fourth proportional to 641.00, 880.74 and 509.78 is: 700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.00 : 880.74 = 509.78 : x
  2. Step 2: Convert to fraction form
    641.00/880.74 = 509.78/x
  3. Step 3: Cross multiply
    641.00x = 880.74 × 509.78
  4. Step 4: Simplify right side
    641.00x = 448,985.84
  5. Step 5: Solve for x
    x = 448,985.84/641.00
  6. Step 6: Final answer
    x = 700.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.