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Finding the Fourth Proportional to 668.26, 1,006.40 and 507.07

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Solution

The fourth proportional to 668.26, 1,006.40 and 507.07 is: 763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.26 : 1,006.40 = 507.07 : x
  2. Step 2: Convert to fraction form
    668.26/1,006.40 = 507.07/x
  3. Step 3: Cross multiply
    668.26x = 1,006.40 × 507.07
  4. Step 4: Simplify right side
    668.26x = 510,315.25
  5. Step 5: Solve for x
    x = 510,315.25/668.26
  6. Step 6: Final answer
    x = 763.65

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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.