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Finding the Fourth Proportional to 1,630.24, 2,445 and 643.12

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Solution

The fourth proportional to 1,630.24, 2,445 and 643.12 is: 964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.24 : 2,445 = 643.12 : x
  2. Step 2: Convert to fraction form
    1,630.24/2,445 = 643.12/x
  3. Step 3: Cross multiply
    1,630.24x = 2,445 × 643.12
  4. Step 4: Simplify right side
    1,630.24x = 1,572,428.40
  5. Step 5: Solve for x
    x = 1,572,428.40/1,630.24
  6. Step 6: Final answer
    x = 964.54

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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.