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Finding the Fourth Proportional to 686.16, 946.94 and 424.18

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Solution

The fourth proportional to 686.16, 946.94 and 424.18 is: 585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.16 : 946.94 = 424.18 : x
  2. Step 2: Convert to fraction form
    686.16/946.94 = 424.18/x
  3. Step 3: Cross multiply
    686.16x = 946.94 × 424.18
  4. Step 4: Simplify right side
    686.16x = 401,673.01
  5. Step 5: Solve for x
    x = 401,673.01/686.16
  6. Step 6: Final answer
    x = 585.39

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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.