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Finding the Fourth Proportional to 690.83, 952.26 and 469.39

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Solution

The fourth proportional to 690.83, 952.26 and 469.39 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.83 : 952.26 = 469.39 : x
  2. Step 2: Convert to fraction form
    690.83/952.26 = 469.39/x
  3. Step 3: Cross multiply
    690.83x = 952.26 × 469.39
  4. Step 4: Simplify right side
    690.83x = 446,978.97
  5. Step 5: Solve for x
    x = 446,978.97/690.83
  6. Step 6: Final answer
    x = 647.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.