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Finding the Fourth Proportional to 460.36, 686.99 and 411.08

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Solution

The fourth proportional to 460.36, 686.99 and 411.08 is: 613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.36 : 686.99 = 411.08 : x
  2. Step 2: Convert to fraction form
    460.36/686.99 = 411.08/x
  3. Step 3: Cross multiply
    460.36x = 686.99 × 411.08
  4. Step 4: Simplify right side
    460.36x = 282,407.51
  5. Step 5: Solve for x
    x = 282,407.51/460.36
  6. Step 6: Final answer
    x = 613.45

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.