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Finding the Fourth Proportional to 691.88, 954.86 and 429.98

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Solution

The fourth proportional to 691.88, 954.86 and 429.98 is: 593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.88 : 954.86 = 429.98 : x
  2. Step 2: Convert to fraction form
    691.88/954.86 = 429.98/x
  3. Step 3: Cross multiply
    691.88x = 954.86 × 429.98
  4. Step 4: Simplify right side
    691.88x = 410,570.70
  5. Step 5: Solve for x
    x = 410,570.70/691.88
  6. Step 6: Final answer
    x = 593.41

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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.