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Finding the Fourth Proportional to 668.23, 1,000.98 and 424.93

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Solution

The fourth proportional to 668.23, 1,000.98 and 424.93 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.23 : 1,000.98 = 424.93 : x
  2. Step 2: Convert to fraction form
    668.23/1,000.98 = 424.93/x
  3. Step 3: Cross multiply
    668.23x = 1,000.98 × 424.93
  4. Step 4: Simplify right side
    668.23x = 425,346.43
  5. Step 5: Solve for x
    x = 425,346.43/668.23
  6. Step 6: Final answer
    x = 636.53

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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.