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Finding the Fourth Proportional to 466.40, 698.58 and 384.32

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Solution

The fourth proportional to 466.40, 698.58 and 384.32 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.40 : 698.58 = 384.32 : x
  2. Step 2: Convert to fraction form
    466.40/698.58 = 384.32/x
  3. Step 3: Cross multiply
    466.40x = 698.58 × 384.32
  4. Step 4: Simplify right side
    466.40x = 268,478.27
  5. Step 5: Solve for x
    x = 268,478.27/466.40
  6. Step 6: Final answer
    x = 575.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.