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Finding the Fourth Proportional to 466.61, 642.30 and 403.56

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Solution

The fourth proportional to 466.61, 642.30 and 403.56 is: 555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.61 : 642.30 = 403.56 : x
  2. Step 2: Convert to fraction form
    466.61/642.30 = 403.56/x
  3. Step 3: Cross multiply
    466.61x = 642.30 × 403.56
  4. Step 4: Simplify right side
    466.61x = 259,206.59
  5. Step 5: Solve for x
    x = 259,206.59/466.61
  6. Step 6: Final answer
    x = 555.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.