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Finding the Fourth Proportional to 466.58, 698.98 and 390.03

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Solution

The fourth proportional to 466.58, 698.98 and 390.03 is: 584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.58 : 698.98 = 390.03 : x
  2. Step 2: Convert to fraction form
    466.58/698.98 = 390.03/x
  3. Step 3: Cross multiply
    466.58x = 698.98 × 390.03
  4. Step 4: Simplify right side
    466.58x = 272,623.17
  5. Step 5: Solve for x
    x = 272,623.17/466.58
  6. Step 6: Final answer
    x = 584.30

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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.