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Finding the Fourth Proportional to 691.84, 954.70 and 412.39

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Solution

The fourth proportional to 691.84, 954.70 and 412.39 is: 569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.84 : 954.70 = 412.39 : x
  2. Step 2: Convert to fraction form
    691.84/954.70 = 412.39/x
  3. Step 3: Cross multiply
    691.84x = 954.70 × 412.39
  4. Step 4: Simplify right side
    691.84x = 393,708.73
  5. Step 5: Solve for x
    x = 393,708.73/691.84
  6. Step 6: Final answer
    x = 569.07

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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.