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Finding the Fourth Proportional to 691.76, 954.77 and 412.16

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Solution

The fourth proportional to 691.76, 954.77 and 412.16 is: 568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.76 : 954.77 = 412.16 : x
  2. Step 2: Convert to fraction form
    691.76/954.77 = 412.16/x
  3. Step 3: Cross multiply
    691.76x = 954.77 × 412.16
  4. Step 4: Simplify right side
    691.76x = 393,513.56
  5. Step 5: Solve for x
    x = 393,513.56/691.76
  6. Step 6: Final answer
    x = 568.86

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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.