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Finding the Fourth Proportional to 698.83, 964.00 and 403.99

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Solution

The fourth proportional to 698.83, 964.00 and 403.99 is: 557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.83 : 964.00 = 403.99 : x
  2. Step 2: Convert to fraction form
    698.83/964.00 = 403.99/x
  3. Step 3: Cross multiply
    698.83x = 964.00 × 403.99
  4. Step 4: Simplify right side
    698.83x = 389,444.45
  5. Step 5: Solve for x
    x = 389,444.45/698.83
  6. Step 6: Final answer
    x = 557.28

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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.