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Finding the Fourth Proportional to 647.84, 890.50 and 580.88

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Solution

The fourth proportional to 647.84, 890.50 and 580.88 is: 798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 890.50 = 580.88 : x
  2. Step 2: Convert to fraction form
    647.84/890.50 = 580.88/x
  3. Step 3: Cross multiply
    647.84x = 890.50 × 580.88
  4. Step 4: Simplify right side
    647.84x = 517,273.64
  5. Step 5: Solve for x
    x = 517,273.64/647.84
  6. Step 6: Final answer
    x = 798.46

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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.