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Finding the Fourth Proportional to 699.19, 964.64 and 404.35

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Solution

The fourth proportional to 699.19, 964.64 and 404.35 is: 557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.19 : 964.64 = 404.35 : x
  2. Step 2: Convert to fraction form
    699.19/964.64 = 404.35/x
  3. Step 3: Cross multiply
    699.19x = 964.64 × 404.35
  4. Step 4: Simplify right side
    699.19x = 390,050.78
  5. Step 5: Solve for x
    x = 390,050.78/699.19
  6. Step 6: Final answer
    x = 557.86

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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.