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Finding the Fourth Proportional to 686.34, 946.17 and 677.07

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Solution

The fourth proportional to 686.34, 946.17 and 677.07 is: 933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 946.17 = 677.07 : x
  2. Step 2: Convert to fraction form
    686.34/946.17 = 677.07/x
  3. Step 3: Cross multiply
    686.34x = 946.17 × 677.07
  4. Step 4: Simplify right side
    686.34x = 640,623.32
  5. Step 5: Solve for x
    x = 640,623.32/686.34
  6. Step 6: Final answer
    x = 933.39

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Half scale
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Double scale
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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.