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Finding the Fourth Proportional to 690.83, 953.26 and 411.08

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Solution

The fourth proportional to 690.83, 953.26 and 411.08 is: 567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.83 : 953.26 = 411.08 : x
  2. Step 2: Convert to fraction form
    690.83/953.26 = 411.08/x
  3. Step 3: Cross multiply
    690.83x = 953.26 × 411.08
  4. Step 4: Simplify right side
    690.83x = 391,860.33
  5. Step 5: Solve for x
    x = 391,860.33/690.83
  6. Step 6: Final answer
    x = 567.23

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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.