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Finding the Fourth Proportional to 1,618.40, 2,427.32 and 463.88

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Solution

The fourth proportional to 1,618.40, 2,427.32 and 463.88 is: 695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.40 : 2,427.32 = 463.88 : x
  2. Step 2: Convert to fraction form
    1,618.40/2,427.32 = 463.88/x
  3. Step 3: Cross multiply
    1,618.40x = 2,427.32 × 463.88
  4. Step 4: Simplify right side
    1,618.40x = 1,125,985.20
  5. Step 5: Solve for x
    x = 1,125,985.20/1,618.40
  6. Step 6: Final answer
    x = 695.74

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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.