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Finding the Fourth Proportional to 670.46, 1,011.54 and 668.66

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Solution

The fourth proportional to 670.46, 1,011.54 and 668.66 is: 1,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.46 : 1,011.54 = 668.66 : x
  2. Step 2: Convert to fraction form
    670.46/1,011.54 = 668.66/x
  3. Step 3: Cross multiply
    670.46x = 1,011.54 × 668.66
  4. Step 4: Simplify right side
    670.46x = 676,376.34
  5. Step 5: Solve for x
    x = 676,376.34/670.46
  6. Step 6: Final answer
    x = 1,008.82

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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.