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Finding the Fourth Proportional to 1,630.04, 2,445.03 and 397.45

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Solution

The fourth proportional to 1,630.04, 2,445.03 and 397.45 is: 596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.04 : 2,445.03 = 397.45 : x
  2. Step 2: Convert to fraction form
    1,630.04/2,445.03 = 397.45/x
  3. Step 3: Cross multiply
    1,630.04x = 2,445.03 × 397.45
  4. Step 4: Simplify right side
    1,630.04x = 971,777.17
  5. Step 5: Solve for x
    x = 971,777.17/1,630.04
  6. Step 6: Final answer
    x = 596.17

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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.