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Finding the Fourth Proportional to 668.45, 997.70 and 590.63

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Solution

The fourth proportional to 668.45, 997.70 and 590.63 is: 881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.45 : 997.70 = 590.63 : x
  2. Step 2: Convert to fraction form
    668.45/997.70 = 590.63/x
  3. Step 3: Cross multiply
    668.45x = 997.70 × 590.63
  4. Step 4: Simplify right side
    668.45x = 589,263.61
  5. Step 5: Solve for x
    x = 589,263.61/668.45
  6. Step 6: Final answer
    x = 881.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.