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Finding the Fourth Proportional to 699.02, 962.86 and 580.78

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Solution

The fourth proportional to 699.02, 962.86 and 580.78 is: 799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.02 : 962.86 = 580.78 : x
  2. Step 2: Convert to fraction form
    699.02/962.86 = 580.78/x
  3. Step 3: Cross multiply
    699.02x = 962.86 × 580.78
  4. Step 4: Simplify right side
    699.02x = 559,209.83
  5. Step 5: Solve for x
    x = 559,209.83/699.02
  6. Step 6: Final answer
    x = 799.99

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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.