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Finding the Fourth Proportional to 670.64, 1,011.44 and 663.36

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Solution

The fourth proportional to 670.64, 1,011.44 and 663.36 is: 1,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 1,011.44 = 663.36 : x
  2. Step 2: Convert to fraction form
    670.64/1,011.44 = 663.36/x
  3. Step 3: Cross multiply
    670.64x = 1,011.44 × 663.36
  4. Step 4: Simplify right side
    670.64x = 670,948.84
  5. Step 5: Solve for x
    x = 670,948.84/670.64
  6. Step 6: Final answer
    x = 1,000.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.