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Finding the Fourth Proportional to 690.98, 953.68 and 411.38

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Solution

The fourth proportional to 690.98, 953.68 and 411.38 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 953.68 = 411.38 : x
  2. Step 2: Convert to fraction form
    690.98/953.68 = 411.38/x
  3. Step 3: Cross multiply
    690.98x = 953.68 × 411.38
  4. Step 4: Simplify right side
    690.98x = 392,319.08
  5. Step 5: Solve for x
    x = 392,319.08/690.98
  6. Step 6: Final answer
    x = 567.78

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1.5x scale

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.