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Finding the Fourth Proportional to 686.13, 946.85 and 479.49

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Solution

The fourth proportional to 686.13, 946.85 and 479.49 is: 661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.13 : 946.85 = 479.49 : x
  2. Step 2: Convert to fraction form
    686.13/946.85 = 479.49/x
  3. Step 3: Cross multiply
    686.13x = 946.85 × 479.49
  4. Step 4: Simplify right side
    686.13x = 454,005.11
  5. Step 5: Solve for x
    x = 454,005.11/686.13
  6. Step 6: Final answer
    x = 661.69

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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.