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Finding the Fourth Proportional to 699.03, 965.52 and 478.98

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Solution

The fourth proportional to 699.03, 965.52 and 478.98 is: 661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.03 : 965.52 = 478.98 : x
  2. Step 2: Convert to fraction form
    699.03/965.52 = 478.98/x
  3. Step 3: Cross multiply
    699.03x = 965.52 × 478.98
  4. Step 4: Simplify right side
    699.03x = 462,464.77
  5. Step 5: Solve for x
    x = 462,464.77/699.03
  6. Step 6: Final answer
    x = 661.58

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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.